This course is for graduate students, expecially for those who wish to apply control in their research or may apply control in their future career. It will not be very mathematical; it is aimed to provide necessary advanced control knowledge for future control engineers.

It is better that students have taken the course `linear system control` before this course. However, students can also take this course with `linear system control` at the same time.

We will talk over various nonlinear control design methodologies that are already proven effective in practical applications. They include:

(1) Lyapunov stability theory
(2) linear control review
(3) linearized control for nonlinear system
(4) gain scheduling control for nonlinear system
(5) linear observer, LTR observer, and kalman filter
(6) observer for nonlinear systems
(7) back stepping control
(8) sliding mode control ---with matching condition
(9) robust Lyapunov function control ---with matching condition
(10) sliding mode control ---without matching condition
(11) nonlinear state feedback control for bilinear system
(12) division control for dyadic bilinear system
(13) feedback linearization control for nonlinear system
(14) open-loop nonlinear control and observer problem

Text Books:

[1] Nonlinear Systems, E. K. Khalil, Prentice-Hall, 2002
[2] Applied Nonlinear Control, J. E. Slotine, W. Li, Prentice-Hall, 1991
[3] Nonlinear Control Systems, A. Isidori, Springer-Verlag, 1989