Standard Course Syllabus Course Supervisor Date of Approval

Dept. of Electrical and Computer Engineering Utkin 3/05

750 Linear System Theory

2. CATALOG DESCRIPTION

Canonical realization of transfer functions; state observability and controllability; state feedback and asymptotic observers;

reduced order observers; direct transfer function design.

Quarters of Offering Credits
Level Class Meeting

Au Qtr. 3 U G 3 cl.

Course Prerequisites

Prereq: 352 and 551; or grad standing.

3. PREREQUISITES BY TOPIC

A minimal knowledge of classical design of feedback control systems; differential equations and their solutions via state

equations; Fourier and Laplace transforms; basic matrix algebra.

Courses that require this as a direct prerequisite

694Y, 850, 851, 852, 853, 854, 858

4. Text(s) and Other Course Materials Author(s) Publisher

Fundamentals of Linear State Space Systems Bay, John McGraw-Hill

(Bookstore: must order from Primis custom publisher -

entire book - PLEASE ORDER EARLY)

References (supplemental reading)

[1] Linear System Theory and Design, 3rd ed., by C-T. Chen, Oxford Univ. Press, 1999.

[2] Linear System Theory, 2nd Ed., by W.J. Rugh, Prentice Hall, 1996.

[3] Linear Systems, by P.J. Antsaklis and A.N. Michel, McGraw Hill, 1997.

[4] Fundamentals of Linear State Space Systems, by J. S. Bay, McGraw Hill, 1999.

[5] Introduction to Scientific Computing: A Matrix Vector Approach Using Matlab , by C. van Loan, Prentice Hall, 1996.

5. COURSE OBJECTIVES

1. The course will provide necessary system theoretic backgrounds for analysis of linear systems using state space methods.

(Criteria 3(a),(e))

2. Students will learn feedback control system design by pole placement (state feedback) and state observers. (Criteria

3(c),(k))

6. TOPICS AND (# OF LECTURES)

Vector spaces and linear operators (9)

Basic system theory (8)

Controllability and observability (6)

Pole placement via state feedback (3)

Asymptotic observers (3)

7. CLASS MEETING PATTERN (For example, "3cl." means 3 48-min classes per week.)

3 cl.

Thursday, August 14, 2008 09:20 AM

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