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EXAMINATION BRANCHQUESTION BANK
Name of the branch: EEE Year & Sem:IV & II
Name of the subject: ADVANCED CONTROL SYSTEM
Name of the faculty, Designation & Mobile number: P.ODELU YADAV, ASSOC PROF
9441240622
Date of Examination: Academic Year: 2015-16
UNIT-I
S.N0
QUESTIONAPPEARED
IN (R05,R07, R09, R13)
MARKS Assigned
1Suppose if the system equations are known in Jordan form. How do you test the properties of controllability? Explain using a state model
2Explain the effect of state feedback on controllability and observability
3
Consider the system defined by Y (s)/U(s) = b0 sn+b1 sn-1-----+bn-1s+bn/(s+p1)3(s+p3) (s+p5)-------(s+pn) Obtain the Jordan canonical form of state space representation for this system
4
Consider the following transfer function Y (s)/U(s) =s+6/s2+5s+6. Obtain the state space Representation of the system in (a) Controllable canonical form and (b) Observable canonical form
5A feedback system has a closed loop transfer function C(s)/U(s) = 10(s+4)/s(s+1) (s+3). Construct Three different state models for this system and give block diagram representation For each state model
6State the advantages of state space design
7 Explain how integral control helps in robust tracking with the help of state model Of system
8The solution of state transition matrix without excitation
9The solution of state transition matrix with excitation
10 Properties of state transition matrix
11 Obtain the state model of the system whose transfer function is given as y(s)/u(s) =10/s3+4s2+2s+1 in controllable canonical form
12Obtain the state model of the system whose transfer function is given as
y(s)/u(s)=2(S+5)/((S+2)(S+3)(S+4)) in diagonal or partial fraction canonical form
13 Obtain the state model of the system whose transfer function is given as y(s)/u(s)=Z+1/Z2+1.3Z+0.4 in controllable canonical form
14 Obtain the state model of the system whose transfer function is given as y(s)/u(s) =Z+1/Z2+1.3Z+0.4 in observable and diagonal canonical form
15
Obtain the state space representation of system described by the equation y (k+2) + y (k+1) +0.16y(k)=u(k+1)+2u(k).
UNIT-II
S.N0
QUESTION
APPEARED IN
(R05,R07, R09, R13)
MARKS Assigned
1 Find the canonical state models for the following transfer function of a system S(s+3)/(s+1)(s+3)(S+6) R07 16
2What are the advantages and disadvantages in kalman’s test for controllability and observability
R07 16
3State and explain controllability and observability?
4
Explain the effect of state feedback on controllability and observability
5
Derive the condition for complete state controllability?
6
Derive the condition for complete state observability? OR
7State the basic theorem for determining the concept of controllability ofTime varying system utilizing state transition matrix. Explain the same R07 8
8
State and explain the principle of duality?
9Derive the controllable canonical form for the following transferfunction
R07 8
10
R09 16
11
12
R07 1613
14
15
UNIT-III
S.N0
QUESTION
APPEARED IN
(R05,R07, R09, R13)
MARKS Assigned
1Discuss the characteristics of non -linear system.
R07 162 List out the types of non-linearity’s are to be found in practical control
System. Explain in detail R07 16
3 Write short notes on sub harmonics oscillations and self excited oscillations
4Derive the describing function of saturation non -linearity.
5Derive the describing function of dead zone non-linearity
6Derive the describing function of relay with dead zone.
7
Derive the describing function of on-off non-linearity.
8Derive the describing function of an on-off non-linearity withHysteresis.
9Derive the describing function of dead zone and saturation of non-Linearity.
10
Explain about the stability analysis with describing function.
11
For the control system shown in figure 1, plot the phase trajectory.
R07 16
12
Explain the following singular points:i. Nodal pointii. Saddle pointiii. Focus pointiv. Centre point
13 R07 16
14
A second order servo containing a relay with dead-zone and hysteresis is shown in figure 2. Construct the phase trajectory of the system with initial conditions e(0)= 0.65 and e(0) = 0 1.5
R09 1615
UNIT-IV
S.N0
QUESTION
APPEARED IN
(R05,R07, R09, R13)
MARKS Assigned
1 Describe analytic method of drawing Phase plane trajectory and alsoWrite procedure for phase plane trajectory.
R07 16
2Discuss Phase Trajectory?
R07 16
3
Discuss phase portrait?
4What are Singular points? Explain the classification of singular pointsBased on the location of Eigen values of the system.
5
Explain about the control system with linear gain and show the input
6
Describe the delta method of drawing phase plane trajectory
7
Describe the isoclines method of drawing phase plane trajectory
8
Enumerate the design steps for pole placement R09 8
9 Prove Ackermann’s formula for the determination of the state feedback gain matrix `K’.
R09 8
10
What are the factors required to design of an optimal control problem
11
Discuss the state regulator problem in the design of optimal controller
12
What are the differences in stability analysis of linear and non linear
13
How limit cycles are determined from phase portrait
14
What are the methods available for constructing phase trajections
15
Describe the limit cycles in phase portrait