RISHARD DORF Objectives-quiz- Match

RISHARD DORF _ MODERN CONTROL SYSTEMS

CHAPTER 1

Multiple Choice

This activity contains 10 questions.Top of Form

Early applications of feedback control include which of the following?

Drebbels temperature regulator

Water clock of Ktesibios

Watts flyball governor

All of the above

Important modern applications of control systems include which of the following?

Fuel-efficient and safe automobiles

Autonomous robots

Automated manufacturing

All of the above

Complete the following sentence. Control of an industrial process by automatic rather than manual means is often called ________.

automation.

a specification.

negative feedback.

a design gap.

Complete the following sentence: _________ are intrinisic in the progression from an initial concept to the final product.

Closed-loop feedback systems

Open-loop control systems

Design gaps

Flyball governors

Complete the following sentence: Control engineers are concerned with understanding and controlling segments of their environments, often called ________.

trade-offs.

risk.

design synthesis.

systems.

Early pioneers in the development of systems and control theory include:

H. S. Black

H. Nyquist

H. W. Bode

All of the above

Complete the following sentence: An open-loop control system utilizes an actuating device to control a process _______.

using feedback.

without using feedback.

in engineering synthesis.

in engineering design.

A system with more than one input variable or more than one output variable is known by what name?

Closed-loop feedback system

Multivariable control system

Open-loop feedback system

Robust control system

Control engineering is applicable to which fields of engineering?

Mechanical and aerospace

Chemical and environmental

Electrical and biomedical

All of the above

Closed-loop control systems should have which of the following properties:

Desirable responses to commands

Good regulation against disturbances

Low sensitivity to changes in the plant parameters

All of the above

Bottom of Form

1.Early applications of feedback control include which of the following?Your Answer:All of the above

2.Important modern applications of control systems include which of the following?Your Answer:Autonomous robots

Correct Answer:All of the above

3.Complete the following sentence. Control of an industrial process by automatic rather than manual means is often called ________.Your Answer:automation.

4.Complete the following sentence: _________ are intrinisic in the progression from an initial concept to the final product.Your Answer:Open-loop control systems

Correct Answer:Design gaps

5.Complete the following sentence: Control engineers are concerned with understanding and controlling segments of their environments, often called ________.Your Answer:trade-offs.

Correct Answer:systems.

6.Early pioneers in the development of systems and control theory include:Your Answer:All of the above

7.Complete the following sentence: An open-loop control system utilizes an actuating device to control a process _______.Your Answer:without using feedback.

8.A system with more than one input variable or more than one output variable is known by what name?Your Answer:Multivariable control system

9.Control engineering is applicable to which fields of engineering?Your Answer:All of the above

10.Closed-loop control systems should have which of the following properties:Your Answer:All of the above

True or False


The flyball governor is generally agreed to be the first automatic feedback controller used in an industrial process.

TrueFalse

A closed-loop control system uses a measurement of the output and feed-back of the signal to compare it with the desired input.

TrueFalse

Engineering synthesis and engineering analysis are the same.

TrueFalse

This is an example of a closed-loop feedback system.

TrueFalse

A multivariable system is a system with more than one input and/or more than one output.

TrueFalse

Bottom of Form

1.Match the term with it's definition

OptionYour Answer:Correct Answer:

1.1The output signal is fed back so that it subtracts from the input signal.A. Optimization P. Negative feedback

1.2A system that uses a measurement of the output and compares it with the desired output.B. Risk F. Closed-loop feedback control system

1.3A set of prescribed performance criteria.C. Complexity of design H. Specifications

1.4A measure of the output of the system used for feedback to control the system.G. Flyball governor K. Feedback signal

1.5A system with more than one input variable or more than one output variable.R. Productivity M. Multivariable control system

1.6The result of making a judgement about how much compromise must be made between conflicting criteria.Q. Trade-off Q. Trade-off

1.7An interconnection of elements and devices for a desired purpose.Q. Trade-off D. System

1.8A reprogrammable,multifunctional manipulator used for a variety of tasks.O. Positive feedback L. Robot

1.9A gap between the complex physical system and the design model intrinsic to the progression from the initial concept to the final product.N. Design gap N. Design gap

1.10The intricate pattern of interwoven parts and knowledge required.L. Robot C. Complexity of design

1.11The ratio of physical output to physical input of an industrial process.H. Specifications R. Productivity

1.12The process of designing a technical system.C. Complexity of design S. Engineering design

1.13A system that utilizes a device to control the process without using feedback.B. Risk J. Open-loop control system

1.14Uncertainties embodied in the unintended consequences of a design.D. System B. Risk

1.15The process of conceiving or inventing the forms,parts, and details of a system to achieve a specified purpose.S. Engineering design E. Design

1.16The device,plant,or system under control.N. Design gap T. Process

1.17The output signal is fed back so that it adds to the input signal.M. Multivariable control system O. Positive feedback

1.18An interconnection of components forming a system configuration that will provide a desired response.H. Specifications U. Control system

1.19The control of a process by automatic means.H. Specifications V. Automation

1.20The adjustment of the parameters to achieve the most favorable or advantageous design.L. Robot A. Optimization

1.21The process by which new physical configurations are created.D. System I. Synthesis

1.22A mechanical device for controlling the speed of a steam engine.N. Design gap G. Flyball governor

CHAPTER 2Multiple Choice


The positioning system of a printer can be modeled as

where the input R (s ) represents the desired position and Y (s ) is the output position. If the input is a unit step input, the final value of the output is:

None of the above

Consider a system with the closed-loop transfer function

with inputR (s)and outputY (s). When all initial conditions are zero and the input is an impulse, then the outputy (t)is

Consider a system represented by the block diagram:

The closed-loop transfer functionT(s)=Y(s)/R(s)is

None of the above

Consider the block diagram below for Problems 4 through 6:

4.The closed-loop transfer functionT(s) = Y(s)/R(s)is:

The closed-loop unit step response is:

The final value ofy(t)is:

Consider the differential equation

Whereis a unit step. The poles of this system are:

None of the above

A car of massm=1000kg is attached to a truck using a spring of stiffnessK= 20000 N/m and a damper of constantb= 200 Ns/m. The truck moves at a constant acceleration ofa= 0.7 m/s2.

The transfer function between the speed of the truck and the speed of the car is :

None of the above

Consider the closed-loop system:

Compute the closed-loop transfer function and the closed-loop zeros and poles.

Consider the feedback system:

AssumingR(s)= 0, the closed-loop transfer function from the disturbanceD(s)to the outputY(s)is:

Bottom of Form

1.The positioning system of a printer can be modeled as

where the input R (s ) represents the desired position and Y (s ) is the output position. If the input is a unit step input, the final value of the output is:Your Answer:None of the above

Correct Answer:

2.Consider a system with the closed-loop transfer function

with inputR (s)and outputY (s). When all initial conditions are zero and the input is an impulse, then the outputy (t)is

Your Answer:

Correct Answer:

3.Consider a system represented by the block diagram:

The closed-loop transfer functionT(s)=Y(s)/R(s)isYour Answer:

Correct Answer:

4.Consider the block diagram below for Problems 4 through 6:

4.The closed-loop transfer functionT(s) = Y(s)/R(s)is:Your Answer:

5.The closed-loop unit step response is:Your Answer:

Correct Answer:

6.The final value ofy(t)is:Your Answer:

Correct Answer:

7.Consider the differential equation

Whereis a unit step. The poles of this system are:Your Answer:

8.A car of massm=1000kg is attached to a truck using a spring of stiffnessK= 20000 N/m and a damper of constantb= 200 Ns/m. The truck moves at a constant acceleration ofa= 0.7 m/s2.

The transfer function between the speed of the truck and the speed of the car is :Your Answer:

9.Consider the closed-loop system:

Compute the closed-loop transfer function and the closed-loop zeros and poles.Your Answer:

Correct Answer:

10.Consider the feedback system:

AssumingR(s)= 0, the closed-loop transfer function from the disturbanceD(s)to the outputY(s)is:Your Answer:

Correct Answer:

1.Very few physical systems are linear within some range of the variables.Your Answer:True

Correct Answer:False

x

2.The s-plane plot of the poles and zeros graphically portrays the character of the natural response of a system.Your Answer:True

3.The roots of the characteristic equation are the zeros of the closed-loop system.Your Answer:True


4.A linear system satisfies the properties of superposition and homogeneity.Your Answer:True

5.The transfer function is the ratio of the Laplace transform of the output variable to the Laplace transform of the input variable, with all initial conditions equal to zero.Your Answer:True

1.Match the term with it's definition:


1.1The device that causes the process to provide the output. The device that provides the motive power to the process.A. DC motor E. Actuator

1.2Unidirectional,operational blocks that represent the transfer functions of the elements of the system.B. Damped oscillation J. Block diagrams

1.3The relation formed by equating to zero the denominator of a transfer function.T. Assumptions H. Characteristic equation

1.4The case where damping is on the boundary between underdamped and overdamped.T. Assumptions P. Critical damping

1.5An oscillation in which the amplitude decreases with time.T. Assumptions B. Damped oscillation

1.6A measure of damping. A dimensionless number for the second-order characteristic equation.A. DC motor C. Damping ratio

1.7An electric actuator that uses an input voltage as a control variable.A. DC motor A. DC motor

1.8A transformation of a function f (t )from the time domain into the complex frequency domain yielding F (s ).A. DC motor S. Laplace transform

1.9An approximate model that results in a linear relationship between the output and the input of the device.A. DC motor M. Linear approximation

1.10A system that satisfies the properties of superposition and homogeneity.A. DC motor L. Linear system

1.11A rule that enables the user to obtain a transfer function by tracing paths and loops within a system.A. DC motor R. Mason loop rule

1.12Descriptions of the behavior of a system using mathematics.A. DC motor O. Mathematical models

1.13A diagram that consists of nodes connected by several directed branches and that is a graphical representation of a set of linear relations.A. DC motor N. Signal - flow graph

1.14A model of a system that is used to investigate the behavior of a system by utilizing actual input signals.A. DC motor G. Simulation

1.15The ratio of the Laplace transform of the output variable to the Laplace transform of the input variable.A. DC motor D. Transfer function

1.16Statements that reflect situations and conditions that are taken for granted and without proof.A. DC motor T. Assumptions

1.17A ratio of the output signal to the input signal for an interconnection of systems when all the loops have been closed or otherwise accounted for.A. DC motor Q. Closed-loop transfer function

1.18An equation including differentials of a function.A. DC motor F. Differential equation

1.19The difference between the desired output and the actual output.E. Actuator I. Error signal

1.20The frequency of natural oscillation that would occur for two complex poles if the damping were equal to zero.M. Linear approximation K. Natural frequency

2.Match the term with it's definition:


2.1The theorem that states thatwhereis the Laplace transform of.B. Final value theorem B. Final value theorem

2.2The property of a linear system in which the system response,, to an inputleads to the responsewhen the input is.A. Overdamped I. Homogeneity

2.3Made linear or placed in a linear form.A. Overdamped P. Linearized

2.4A condition or statement that must be satisfied to achieve a desired effect or result.A. Overdamped H. Necessary condition

2.5The case where the damping ratio is.A. Overdamped A. Overdamped

2.6The roots of the denominator polynomial (i.e., the roots of the characteristic equation) of the transfer function.A. Overdamped N. Poles

2.7The law that states that if two inputs are scaled and summed and routed through a linear, time-invariant system, then the output will be identical to the sum of outputs due to the individual scaled inputs when routed through the same system.A. Overdamped J. Principle of superposition

2.8The input to a control system often representing the desired output.A. Overdamped K. Reference input

2.9The constantsassociated with the partial fraction expansion of the output Y(s) when the output is written in a residue-pole format.A. Overdamped L. Residues

2.10The value that the output achieves after all the transient constituents of the response have faded.A. Overdamped F. Steady state

2.11The complex plane where, given the complex number, thex-axis (or horizontal axis) is thes-axis, and they-axis (or vertical axis) is thejw-axis.A. Overdamped D.splane

2.12A power series which is used to linearize functions and system models.A. Overdamped E. Taylor series

2.13The time interval necessary for a system to change from one state to another by a specified percentage.A. Overdamped G. Time constant

2.14The case where the damping ratio is.A. Overdamped M. Underdamped

2.15A feedback control system wherein the gain of the feedback loop is one.A. Overdamped C. Unity feedback

2.16The roots of the numerator polynomial of the transfer function.A. Overdamped O. Zeros

CHAPTER 3 State VariablesMultiple Choice


Consider a system with the mathematical model given by the differential equation:

A state variable representation of the system is:

For Problems 2 and 3, consider the system represented by

The associated state-transition matrix is:

For the initial conditionsx1(0) =x2(0) = 1, the responsex(t) for the zero-input response is:

A single-input, single-output system has the state variable representation

The transfer function of the systemT(s) =Y(s)/U(s) is:

The differential equation model for two first-order systems in series is

whereu(t) is the input of the first system andx(t) is the output of the second system. The responsex(t) of the system to a unit impulseu(t) is:

A first-order dynamic system is represented by the differential equationy ( t ) = x ( t )

The corresponding transfer function is:

None of the above

Consider the block diagram below for Problems 7 through 9:

The effect of the inputR(s) and the disturbanceD(s) on the outputY(s) can be considered independently of each other because

The system is casual.

This is a linear system, therefore we can apply the principle of superposition.

The disturbanceD(s) occurs at high frequency, while the inputR(s) occurs at low frequency.

The inputR(s) does not influence the disturbanceD(s).

The state-space representation of the closed-loop system fromR(s) toY(s) is:

None of the above

The steady-state error due to a unit step disturbanceD(s) = 1/sis (with R(s) = 0):

A system is represented by the transfer function

A state variable representation is:

Bottom of Form

1.Consider a system with the mathematical model given by the differential equation:

A state variable representation of the system is:Your Answer:(blank)

2.For Problems 2 and 3, consider the system represented by

The associated state-transition matrix is:Your Answer:

Correct Answer:

3.For the initial conditionsx1(0) =x2(0) = 1, the responsex(t) for the zero-input response is:Your Answer:

Correct Answer:

4.A single-input, single-output system has the state variable representation

The transfer function of the systemT(s) =Y(s)/U(s) is:Your Answer:

Correct Answer:

5.The differential equation model for two first-order systems in series is

whereu(t) is the input of the first system andx(t) is the output of the second system. The responsex(t) of the system to a unit impulseu(t) is:Your Answer:

6.A first-order dynamic system is represented by the differential equationy ( t ) = x ( t )

The corresponding transfer function is:Your Answer:

Correct Answer:

7.Consider the block diagram below for Problems 7 through 9:

The effect of the inputR(s) and the disturbanceD(s) on the outputY(s) can be considered independently of each other becauseYour Answer:The inputR(s) does not influence the disturbanceD(s).

Correct Answer:This is a linear system, therefore we can apply the principle of superposition.

8.The state-space representation of the closed-loop system fromR(s) toY(s) is:Your Answer:

Correct Answer:

9.The steady-state error due to a unit step disturbanceD(s) = 1/sis (with R(s) = 0):Your Answer:

10.A system is represented by the transfer function

A state variable representation is:Your Answer:

Correct Answer:

True or False


The state-variables of a system comprise a set of variables that describe the future response of the system, when given the present state, all future excitation inputs, and the mathematical model describing the dynamics.

TrueFalse

The matrix exponential function describes the unforced response of the system and is called the state transition matrix.

TrueFalse

The outputs of a linear system can be related to the state variables and the input signals by the state differential equation.

TrueFalse

A time-invariant control system is a system for which one or more of the parameters of the system may vary as a function of time.

TrueFalse

A state variable representation of a system can always be written in diagonal form.

TrueFalse

Bottom of Form1.The state-variables of a system comprise a set of variables that describe the future response of the system, when given the present state, all future excitation inputs, and the mathematical model describing the dynamics.Your Answer:True

2.The matrix exponential function describes the unforced response of the system and is called the state transition matrix.Your Answer:True

3.The outputs of a linear system can be related to the state variables and the input signals by the state differential equation.Your Answer:True


4.A time-invariant control system is a system for which one or more of the parameters of the system may vary as a function of time.Your Answer:True


5.A state variable representation of a system can always be written in diagonal form.Your Answer:True




1.1A. State variable feedback G. State vector

1.2A set of numbers such that the knowledge of these numbers and the input function will,with the equations describing the dynamics,provide the future state of the system.A. State variable feedback H. State of a system

1.3A system for which one or more parameters may vary with time.S. Output equation M. Time-varying system

1.4The matrix exponential function that describes the unforced response of the system.A. State variable feedback B.Transition matrix,(t)

1.5The set of variables that describe the system.Q. Phase variable canonical form K. State variables

1.6A. State variable feedback R. State differential equation

1.7The mathematical domain that incorporates the time response and the description of a system in terms of timet.A. State variable feedback F. Time domain

1.8An approximation used to obtain the time response of a system based on the division of the time into small increments, t.A. State variable feedback D. Discrete-time approximation

1.9The control signal for the process is a direct function of all the state variables.A. State variable feedback A. State variable feedback

1.10A fundamental or basic form of the state variable model representation.A. State variable feedback P. Canonical form

1.11A decoupled canonical form displaying the n distinct system poles on the diagonal of the state variable representationAmatrix.A. State variable feedback O. Diagonal canonical form

1.12A canonical form described byanfeedback loops involving the coefficients of then-th order denominator polynomial of the transfer function and feedforward loops obtained by feeding forward the input signal.A. State variable feedback L. Input feedforward canonical form

1.13A block diagonal canonical form for systems that do not possess distinct system poles.A. State variable feedback J. Jordan canonical form

1.14An important matrix function, defined as eAt= I + At + (At)2/2 + +, that plays a role in the solution of linear constant coefficient differential equations.A. State variable feedback I. Matrix exponential function

1.15The algebraic equation that relates the state vector,x, and the inputs,u, to the outputs,y, through the relationshipy = Cx + Du.A. State variable feedback S. Output equation

1.16A canonical form described bynfeedback loops involving theancoefficients of then-th order denominator polynomial of the transfer function andmfeedforward loops involving thebmcoefficients of them-th order numerator polynomial of the transfer function.A. State variable feedback Q. Phase variable canonical form

1.17The state variables associated with the phase variable canonical form.A. State variable feedback N. Phase variables

1.18The state variables representing the physical variables of the system.A. State variable feedback E. Physical variables

1.19A time-domain model comprised of the state differential equation,x=Ax+Bu,and the output equation,y=Cx+Du.A. State variable feedback C. State-space representation

Chapter 4Multiple Choice


The plant of a unity feedback closed-loop system is

The sensitivity of the closed-loop system to small changes inis:

Consider the following two systems:

These systems have the same transfer function whenK1=K2= 100. Which system is most sensitive to variations in the parameterK1? Compute the sensitivity using the nominal valuesK1=K2= 100.

Both systems are equally sensitive to changes inK1.

Consider the closed-loop transfer function

whereA1,A2,A3,andA4are constants. Compute the sensitivity of the system to variations in the parameterk.

Consider the block diagram of a submersible vehicle for Problems 47:

The closed-loop transfer function of the submersible vehicle is:

The steady-state tracking error to a unit step inputR(s)is

Consider the block diagram of a machine-tool control system for Problems 89:

Compute the minimal value ofKso that the steady-state error due to a unit step disturbance is less than 10%.

K = b

1.The plant of a unity feedback closed-loop system is

The sensitivity of the closed-loop system to small changes inis:Your Answer:

Correct Answer:

2.Consider the following two systems:

These systems have the same transfer function whenK1=K2= 100. Which system is most sensitive to variations in the parameterK1? Compute the sensitivity using the nominal valuesK1=K2= 100.

Your Answer:

Correct Answer:

3.Consider the closed-loop transfer function

whereA1,A2,A3,andA4are constants. Compute the sensitivity of the system to variations in the parameterk.Your Answer:

Correct Answer:

4.Consider the block diagram of a submersible vehicle for Problems 47:

The closed-loop transfer function of the submersible vehicle is:Your Answer:

Correct Answer:

5.

Your Answer:

Correct Answer:

6.

Your Answer:

Correct Answer:

7.The steady-state tracking error to a unit step inputR(s)isYour Answer:

Correct Answer:

8.Consider the block diagram of a machine-tool control system for Problems 89:

Your Answer:

9.Compute the minimal value ofKso that the steady-state error due to a unit step disturbance is less than 10%.Your Answer:

10.

Your Answer:

Correct Answer:

1.One of the most important characteristics of control systems is their transient response.Your Answer:True

2.The system sensitivity is the ratio of the change in the system transfer function to the change of a process transfer function for a small incremental change.Your Answer:True

3.A primary advantage of a open-loop control system is its ability to reduce the systems sensitivity.Your Answer:False

4.A disturbance is a desired input signal that affects the systems output signal.Your Answer:False

5.An advantage of using feedback is a decreased sensitivity of the system to variations in the parameters of the process.Your Answer:False

Correct Answer:True



1.1An unwanted input signal that affects the system s output signal.A. Instability E. Disturbance signal

1.2The difference between the desired output,R (s ),and the actual output,Y (s )A. Instability H. Error signal

1.3A system without feedback that directly generates the output in response to an input signal.A. Instability K. Open-loop system

1.4The error when the time period is large and the transient response has decayed,leaving the continuous response.A. Instability B. Steady-state error

1.5The ratio of the change in the system transfer function to the change of a process transfer function (or parameter) for a small incremental change.A. Instability C. System sensitivity

1.6The response of a system as a function of time.A. Instability F. Transient response

1.7A system with a measurement of the output signal and a comparison with the desired output to generate an error signal that is applied to the actuator.A. Instability I. Closed-loop system

1.8A measure of the structure, intricateness, or behavior of a system that characterizes the relationships and interactions between various components.A. Instability G. Complexity

1.9The parts, subsystems, or subassemblies that comprise a total system.A. Instability D. Components

1.10An attribute of a system that describes a tendency of the system to depart from the equilibrium condition when initially displaced.A. Instability A. Instability

1.11A reduction in the amplitude of the ratio of the output signal to the input signal through a system, usually measured in decibels.A. Instability J. Loss of gain

Consider the following closed-loop control system for Problems 1 and 2:

The steady-state error to a unit step input is:

The percent overshoot of the output to a unit step input is approximately:

PO= 9%

PO= 20%

PO= 1%

No overshoot

Consider the block diagram of a levitation control system of a vehicle in Problems 3 and 4:

Find the value ofKso that the system provides an optimum ITAE response for a step input.

K= 12.56

K= 51.02

K= 104.7

K= 1.10

Compute the expected percent overshoot to a unit step input.

No overshoot expected

PO= 10.8%

PO= 4.6%

PO= 1.4%

A system has the closed-loop transfer functionT(s)given by

Using the notion ofdominant poles,estimate the expected percent overshoot.

No overshoot expected

Consider the unity feedback control system

Both specifications can be satisfied.

Only the second specificationPO0

Stable for allz>0

Determine the maximum value of the gain K for closed-loop stability.

K= 3.83

K= 2.13

K= 14.89

Stable for allK> 0

Suppose that a simple proportional controller is utilized, that is,Gc(s) = K

Determine the maximum controller gain K for closed-loop stability.

K= 4.49

K= 0.50

K= 1.49

Unstable for allK> 0

Consider the unity feedback system

Determine the breakway point on the real axis and the respective gain, K.

s=1.4K=58.75

s=-2.5K=4.59

s=-1.8K=58.75

None of the above

In Problems 9 and 10, consider the feedback systemThe root-locus is which of the following:

The departure angles from the complex poles and the arrival angles at the complex zeros are:

None of the above

1.Consider a control system for an automobile suspension tester

Your Answer:K= 4.5

2.In Problems 2 and 3, consider the unity feedback system2.The approximate angles of departure of the root-locus from the complex poles areYour Answer:None of the above

Correct Answer:

3.The root-locus of this system given by which of the followingYour Answer:

Correct Answer:

4.

Your Answer:K= 10500

Correct Answer:K= 2025

5.Consider the unity feedback control system

Using the root-locus method, determine that maximum value ofzfor closed-loop stability.Your Answer:z=7.2

6.

Determine the maximum value of the gain K for closed-loop stability.Your Answer:K= 2.13

Correct Answer:K= 3.83

7.Suppose that a simple proportional controller is utilized, that is,Gc(s) = K

Determine the maximum controller gain K for closed-loop stability.Your Answer:K= 0.50

Correct Answer:K= 4.49

8.Consider the unity feedback system

Determine the breakway point on the real axis and the respective gain, K.Your Answer:s=-1.8K=58.75

9.In Problems 9 and 10, consider the feedback systemThe root-locus is which of the following:Your Answer:

10.The departure angles from the complex poles and the arrival angles at the complex zeros are:Your Answer:

Correct Answer:

1.The root-locus is the path the roots of the characteristic equation (given by 1 +KG(s)=0) trace out on the s-plane as the system parameterKvaries.Your Answer:False

Correct Answer:True

2.On the root locus plot, the number of separate loci is equal to the number of poles ofG(s).Your Answer:True

3.The root-locus always starts at the zeros and ends at the poles ofG(s).Your Answer:False

4.The root locus provides the control system designer with a measure of the sensitivity of the poles of the system to variations of a parameter of interest.Your Answer:True

5.The root locus provides valuable insight into the response of a system to various test inputs.Your Answer:False

Correct Answer:True



1.1A method of selecting one or two parameters using the root locus method.A. Asymptote centroid M. Parameter design

1.2The sensitivity of the roots as a parameter changes from its normal value.B. PI controller J. Root sensitivity

1.3The locus or path of the roots traced out on thes-plane as a parameter is changed.C. Root contours I. Root locus

1.4The root locus lying in a section of the real axis to the left of an odd number of poles and zeros.D. Breakaway point R. Root locus segments on the real axis

1.5The method for determining the locus ofroots of the characteristic equationvaries from 0 toE. Number of separate loci O. Root locus method

1.6The center of the linear asymptotes,.F. Angle of departure A. Asymptote centroid

1.7The point on the real axis where the locus departs from the real axis of thes-plane.G. Dominant roots D. Breakaway point

1.8A path or trajectory that is traced out as a parameter is changed.H. Angle of departure N. Locus

1.9The angle at which a locus leaves a complex pole in the s -plane.J. Root sensitivity F. Angle of departure

1.10Equal to the number of poles of the transfer function, assuming that the number of poles is greater than or equal to the number of zeros of the transfer function.I. Root locus E. Number of separate loci

1.11The path the root locus follows as the parameter becomes very large and approachesJ. Root sensitivity Q. Asymptote

1.12The angle at which a locus leaves a complex pole in thes-planeK. PID controller H. Angle of departure

1.13The angle that the asymptote makes with respect to the real axis.L. Angle of the asymptotes L. Angle of the asymptotes

1.14The roots of the characteristic equation that represent or dominate the closed-loop transient response.M. Parameter design G. Dominant roots

1.15A measure of the sensitivity of the system performance to specific parameter changes.N. Locus S. Logarithmic sensitivity

1.16A controller widely-used in industry of the form, whereis the proportional gain,is the integral gain, andis the derivative gain.O. Root locus method K. PID controller

1.17A two-term controller of the form, whereis the proportional gain andis the derivative gain.P. PD controller P. PD controller

1.18A two-term controller of the formwhereis the proportional gain andis the integral gain.Q. Asymptote B. PI controller

1.19The family of loci that depict the effect of varying two parameters on the roots of the characteristic equation.R. Root locus segments on the real axis C. Root contours

RISHARD DORF Objectives-quiz- Match

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