Lectures related to Multivariable Control: Lyapunov Stability and LQR Theorems

Multivariable Control: Weight Design and Stability Analysis

Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.

Multivariable Control: Stability and Lyapunov Theorems

Explores multivariable control, optimal laws, and system stability theorems, emphasizing the importance of observability.

Distributed LQR Control Design

Introduces a suboptimal distributed LQR design for physically coupled systems with stability guarantees and simulation comparisons.

Stability and Eigenvalues of LTI Systems

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Stability and State Feedback

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Lyapunov Methods: Stability Analysis

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

Stability of LTI Systems: Equilibria and Lyapunov Theory

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Optimal Control: Linear Quadratic Regulation

Explores linear quadratic regulation for optimal control of linear systems, focusing on minimizing a quadratic cost function to move the system state towards zero.

Nonlinear Model Predictive Control

Explores Nonlinear Model Predictive Control, covering stability, optimality, pitfalls, and examples.

Linear Quadratic (LQ) Optimal Control: Proof of Theorem

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Non-linear Control: Stability Analysis

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

Luenberger Observers: Separation Principle

Explores Luenberger observers in multivariable control systems, emphasizing observer stability, separation principle, and filter design.

Multivariable Control: System Theory and Applications

Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.

Small Scale Stability

Covers small scale stability conditions and asymptotic behavior around fixed points.

Suspension Optimisation: Performance Analysis and Optimization

Explores the design and optimization of car suspensions for improved performance.

Networked Control Systems: Stability Analysis and Delay Compensation

Explores stability analysis and delay compensation in networked control systems, emphasizing the importance of compensating for known delays.

Non-linear Control: Lyapunov Method

Covers exercises on the Lyapunov method in non-linear control systems, focusing on stability analysis and Lyapunov functions.

Networked Control Systems: Stability Analysis and Estimation

Covers the analysis and estimation of stability in networked control systems, including the impact of sampling intervals and delays.