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Course

ME-523: Nonlinear Control Systems

Lectures in this course (36)

Covers the representation of state-space models and system dynamics.

Explores the Van der Pol oscillator, its dynamic equations, and phase plane representation.

Covers the analysis of phase planes for linear systems and the Poincaré-Bendixson theorem.

Explores static nonlinearity analysis, focusing on equivalent gain and signal approximation.

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

Covers the Fourier series representation of periodic signals and harmonic analysis.

Covers the estimation of Lyapunov functions and state representations for different physical systems.

Explores stability analysis of the 1st harmonic in closed-loop systems and the importance of harmonic conditions for limit cycles.

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.

Explores Lyapunov stability analysis, demonstrating stability determination and function calculation for control systems.

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.

Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

Explores passivity in mass-spring systems, calculating transfer functions and ensuring system passivity through feedback assembly.

Explores Lyapunov stability, linearization, and system stability examples.

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.

Explores Lyapunov stability theory in the context of a simple pendulum system, demonstrating its application and implications.

Explores linearization, state representations, and stability analysis using Lyapunov theory and zero dynamics.

Explores Lyapunov functions, Chetaev's theorem, and differential forms classification.

Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.