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ME-523: Nonlinear Control Systems
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Lectures in this course (36)
Passivity in Mass-Spring Systems
Explores passivity in mass-spring systems, calculating transfer functions and ensuring system passivity through feedback assembly.
Lyapunov Stability and Linearization
Explores Lyapunov stability, linearization, and system stability examples.
Lyapunov II: Stability and Invariance
Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.
Lyapunov Stability in Simple Pendulum
Explores Lyapunov stability theory in the context of a simple pendulum system, demonstrating its application and implications.
Non-linear Control: Stability Analysis
Explores linearization, state representations, and stability analysis using Lyapunov theory and zero dynamics.
Lyapunov Functions: Construction and Properties
Explores Lyapunov functions, Chetaev's theorem, and differential forms classification.
Lyapunov Stability: Theory and Applications
Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.
Passivity in Linear Systems
Explores passivity in linear systems, discussing conditions for stability and system behavior.
Passivity: I
Covers the concept of passivity for linear systems and related properties.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Passivity, Stability and Circle Criterion
Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.
Passivity and Absolute Stability in Control Systems
Explores passivity, absolute stability, and the circle criterion in control systems, analyzing system behavior and input-output operator modifications.
Passivity, Stability and Circle Criterion
Explores passivity, stability, and circle criterion in control systems, emphasizing system behavior and design considerations.
Exact Linearization: Integrator Chain Stabilization
Discusses exact linearization in integrator chains for stabilization and control.
Exact Linearization: Earth Dynamics and Stabilization
Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.
Exact Linearization: Determining Conditions and Transformations
Explores exact linearization, determining conditions and transformations using Lie bracket and hook of Lie.
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