SIE 453 - Deterministic Control Systems

SIE 453 - Deterministic Control Systems (3) The analysis and synthesis of deterministic linear control systems, with emphasis on design using both frequency-domain and state-variable approaches. 1.5ES, 1.5ED. p, 350.

Richard C. Dorf and Robert H. Bishop, Modern Control Systems, Addison-Wesley Publishing Co., 1995

Student Edition of Matlab

K. Larry Head, Assistant Professor of Systems and Industrial Engineering

1. Linear differential equations
2. Modeling dynamic systems
3. Laplace transforms

Homework based on in class review and prerequisite topics. Lectures and office instruction based on feedback from students while completing homework.

To develop an understanding for the control and analysis of dynamic systems.

1. Understand the relationship between describing equations, state variable representation, and transfer functions.
2. Demonstrate the ability to find the response of a dynamical system to standard inputs, including an impulse, step, ramp, and sinusoid.
3. Understand the benefits and effects of state variable feedback including sensitivity to parameter variations, control of the transient response, effect of disturbances, steady state error, and the cost of feedback.
4. Understand the performance of feedback control systems in terms of performance measures including percent overshoot, rise time, settling time, and steady state error.
5. To develop analytical performance measures for second-order systems in terms of damping and natural frequency and to understand how higher order systems can be approximated by second-order systems.
6. Demonstrate the ability to design feedback control system to meet performance specifications.
7. Understand the concepts of stability and the effect of feedback on stability.
8. Understand the frequency domain representation of systems in terms of frequency response.
9. Demonstrate the ability to design systems to meet frequency domain specifications.
10. To introduce advanced topics including controllability, observability, optimal control and digital control.

1. Introduction To Control (1 hour)
2. Review Modeling Dynamic Systems (physical systems) (3)
3. Different State Variable Models (physical, phase and canonic variables) (2)
4. Transfer Function Representation (3)
5. Time Response To Test Inputs (2)
6. Properties Of Feedback Control (1)
7. Performance Of Feedback Systems (3)
8. Analysis Of A Second-Order System (3)
9. Design To Meet Performance Specifications (6)
10. Stability (6)
11. Root Locus Concepts (2)
12. Frequency Response (4)
13. Design To Meet Frequency Response Specifications (2)
14. Advanced Topics (state variable control, optimal control, digital control) (2)

Class Requirements:

1. Three lecture sessions per week.
2. Homework set every five lectures.
3. Three in class examinations and final examinations

1. 1.Students are expected to use MATLAB in solving homework problems.
2. Each homework set contains at least one problem that requires MATLAB.

Laboratory Projects: None

1. Class examinations
2. Homework
3. Final examination

Contribution to program objectives: Goals 1, 2, 4

Prepared by: K. Larry Head    Date: November 6, 1997