ME451: Control Systems · 2014. 8. 21. · MECH466: Automatic Control Author: nagamune Created...
Transcript of ME451: Control Systems · 2014. 8. 21. · MECH466: Automatic Control Author: nagamune Created...
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ME451: Control Systems
Dr. Jongeun Choi
Department of Mechanical Engineering
Michigan State University
Lecture 0
Introduction
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Instructor
Class Instructor: Dr. Jongeun Choi,
Website: http://www.egr.msu.edu/~jchoi/
Associate Professor at ME department,
2459 Engineering Building,
Email: [email protected]
Office Hours
2459 EB, MW 10:00-11:00am, Extra hours by
appointment
Laboratory Instructor: Dr. Jongeun Choi
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Course information
Lecture:
When: MWF: 11:30am-12:20pm
Where: 008 Urban Plan & Land Arch Bldg
Class and Laboratory website:
http://www.egr.msu.edu/classes/me451/jchoi/2014/
http://www.egr.msu.edu/classes/me451/me451_labs/Fall_201
4/index.html
Required Textbook:
Modern Control Systems, Richard C. Dorf and Robert H.
Bishop, Prentice Hall, 12th edition, 2010, ISBN-10: 0-13-
602458-0
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Main components of the course
Lectures (about 40 lectures)
Old Math Quiz
Midterm1, Midterm2
Final (Final exam period)
Laboratory work
Grading: Homework plus Math Quiz (10%), Exam 1 (20%),
Exam 2 (20%), Final Exam (comprehensive) (25%), Laboratory work (25%)
Homework will be due in one week from the day it is assigned
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Tips to pass this course
Come to the lectures as many times as you can.
Print out and bring lecture slides to the lecture.
Actively participate “Exercises” in each lecture.
Do homework every week.
Read the textbook and the slides.
Make use of instructor’s office hours.
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Math Prerequisites
Complex Numbers Add, Subtract, Multiply, Divide
Linear Algebra Matrix Multiply, Inverse, Sets of Linear Eq.
Linear Ordinary Differential Equations
Laplace Transform to Solve ODE’s
Linearization
Logarithms
Modeling of Physical Systems Mechanical, Electrical, Thermal, Fluid
Dynamic Responses 1st and 2nd Order Systems of ODE’s
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Prerequisites: Complex Numbers
Ordered pair of two real numbers
Conjugate
Addition
Multiplication
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Complex Numbers
Euler’s identity
Polar form
Magnitude
Phase
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Logarithm The logarithm of x to the base b is written
The logarithm of 1000 to the base 10 is 3, i.e.,
Properties:
Why?
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Laplace transform
One of most important math tools in the course!
Definition: For a function f(t) (f(t)=0 for t<0),
We denote Laplace transform of f(t) by F(s).
f(t)
t0F(s)
(s: complex variable)
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Summary & Exercises
Prerequisites Complex numbers, Linear Algebra, Logarithm,
Laplace transform
Dynamics
Next Introduction
Exercises
Buy the course textbook and keep it! Review today’s slides on complex numbers and
logarithm
Read Chapter 1 and 2 of the textbook.