This course covers advanced concepts in nonlinear systems and control, including nonlinear modeling, equilibrium and stability analysis using Lyapunov and LaSalle methods, and nonlinear control design, with an emphasis on rigorous theory and practical controller synthesis for uncertain nonlinear systems. 

The objectives of this course are to:

• Understand the fundamental concepts and mathematical modeling of nonlinear dynamic systems.

• Analyze equilibrium points and stability properties using Lyapunov theory and LaSalle’s invariance principle.

• Identify and interpret complex nonlinear behaviors such as oscillations, bifurcations, and nonlinear responses.

• Design and implement nonlinear control strategies including nonlinear state feedback, feedback linearization, sliding-mode control, adaptive control, and robust control.

• Develop the ability to ensure stability, robustness, and satisfactory dynamic performance of nonlinear systems in the presence of uncertainties and disturbances.

• Apply theoretical concepts to practical engineering problems through analytical and simulation-based studies.

Dr. MOKHTARI Mohammed Rida