Lectures related to Distributed LQR Control Design

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.

Simulation: Control of Dynamic Systems

Explores simulation of common structures and control of dynamic systems through friction and elasticity constants.

Multivariable Control: Stability and Lyapunov Theorems

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

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.

Multivariable Control: Lyapunov Stability and LQR Theorems

Explores Lyapunov stability, LQR theorems, and discounted LQR in multivariable control.

Compensation of Network-Induced Delays in Control Systems

Explores compensation of transmission delays in remote-control settings to ensure stability in networked control systems.

Multivariable Control: Weight Design and Stability Analysis

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

Circle Criterion: Stability and Nonlinearity

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

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.

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.

Stability of LTI Systems: Equilibria and Lyapunov Theory

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

Stability and Eigenvalues of LTI Systems

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

Optimization and Simulation: Introduction to Simulation

Introduces state-of-the-art methods in optimization and simulation, covering topics like statistical analysis, variance reduction, and simulation projects.

Lyapunov Stability and Linearization

Explores Lyapunov stability, linearization, and system stability examples.

Simulation & Optimization: Poisson Process & Random Numbers

Explores simulation pitfalls, random numbers, discrete & continuous distributions, and Monte-Carlo integration.

Lyapunov Stability Analysis

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

Lyapunov Methods: Stability Analysis

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

Decentralized Control of DC Microgrids

Explores decentralized control of DC microgrids, PnP controllers, explicit inequalities, and stability in voltage tracking and current sharing.

Modeling Prisoner's Dilemma: Naive vs. Optimal

Explores the modeling of the '100 prisoners' problem and compares naive and optimal approaches.