EE Department                                                                                                                                                   University of Nevada, Reno

EE 776 Nonlinear Control (3 Cr. Hrs.)

Spring 2003

 

Instructor: Dr. M.S. Fadali, SEM 325

Office Hours: T TH 10-11, W 2:30-3:45

Grading: 70% Assignments 30% Project

Each student must complete a project on nonlinear control, including simulation or experimental results as part of the course.

Each student must submit a monthly progress report and a final report and must give a fifteen minute oral presentation as part of the project.

 

Homework Assignments:  See WebCT

 

Text: J.-J. Slotine, W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, N.J. 1991.

 

References:

H.K. Khalil, Nonlinear Systems, Prentice Hall, Upper Saddle River, NJ, 1996.

M. Vidyasagar, Nonlinear Systems Analysis, Prentice Hall, Englewood Cliffs, NJ, 1993.

R.R. Mohler, Nonlinear Systems, Prentice Hall, Englewood Cliffs, NJ, 1991.

TP.A. Cook, Nonlinear Dynamical Systems, Prentice Hall, Englewood Cliffs, NJ, 1986.

 

Journals:

IEEE Transactions on Automatic Control, Circuits & Systems, International J. of Control, Automatica.

 

Course Breakdown

 

Topic

Chapter

Classes

Introduction and Review of Linear System Theory

Notes

1

Nonlinear System Behavior and Simulation

1

1

Phase Plane Analysis (phase portraits, linear and nonlinear systems, limit cycles)

2.5

2.5

Equilibrium Points and Stability

Lyapunov Theory (linearization and local stability, Lyapunov's direct method, choice of Lyapunov functions, design, instability theorems, Barablat's lemma, positive linear systems, passivity formalism)

3,4

8

Absolute Stability (circle criterion, Popov criterion)

4

2

Describing Function Analysis (describing functions, common nonlinearity, analysis of nonlinear systems)

5

2

Feedback Linearization (canonical form, input-state linearization, input-output linearization, math tools, SISO systems, MIMO systems)

6

4

Sliding Control (sliding surface design: Filippov's method, equivalent control, pole assignment, continuous approximations of switching control laws, modeling-performance trade-offs, multi-input systems, nonlinear observers)

7, papers

4

Total

 

24

 

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