This course is intended for graduate students in engineering to present the fundamental results of the analysis and design of nonlinear control systems. Especially, this course is concerned with the analysis tools for nonlinear dynamical systems and the design techniques for nonlinear control systems. Emphasis is placed upon application of the theory to systems of interest to the students. Included is an outline of topics to be covered in the course.
• Nonlinear phenomena • Phase plane analysis • Mathematical foundation • Lyapunov stability theorem • Variable gradient method • Advanced stability theorem • Input-output stability • Asymptotic techniques • Circle & Popov criteria • Describing function method • Feedback linearization • Lyapunov redesign • Back stepping • Sliding mode control • High gain observers
Prerequisite: EE581 - Linear System