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UUM 618E - Dynamics and Control of Nonlinear Systems

Course Objectives

This is a Ph.D. Level course on nonlinear dynamics and introduction to nonlinear controls. This course is modelled using University of California Berkeley EE222 and Stanford University EE209A courses.

Course Description

Introduction to Nonlinear Phenomena: Multiple Equilibria, Limit Cycles, Complex Dynamics, Bifurcations
Second Order Nonlinear Systems: Phase Plane Techniques, Limit Cycles - Poincare-Bendixson Theory, Index Theory
Input-output analysis and stability: Small Gain Theorem, Passivity, Describing Functions
Lyapunov Stability Theory: Basic stability and instability theorems, LaSalle's theorem, Indirect method of Lyapunov
Nonlinear Control: Linearization by State Feedback for SISO and MIMO systems, Involutivity, Lie Brackets, Frobenius' Theorem, Zero Dynamics, Inversion, Tracking, Stabilization

Course Coordinator
Gökhan İnalhan
Course Language
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