Lectures related to Multivariable Control: Weight Design and Stability Analysis

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.

Multivariable Control: Stability and Lyapunov Theorems

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

State-Space Representation: Controllability and Observability

Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.

Multivariable Control: System Theory and Applications

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

Infinite-Horizon LQ Control: Solution & Example

Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.

Networked Control Systems

Explores Networked Control Systems, addressing packet dropouts, network delays, stability, and control laws for system boundability.

Linear Quadratic Optimal Control: Theory and Applications

Explores Linear Quadratic optimal control theory, covering FH-LQ and IH-LQ problems and the importance of observability in control systems.

Model Reference Method: PID Regulator Design

Explores the Model Reference Method for designing PID regulators and cascade controllers for complex systems.

Multivariable Control: Design and Analysis

Covers the design and analysis of multivariable control systems, focusing on stability and zero steady-state tracking error.

Exact and Approximate Sampling in Multivariable Control

Explores exact and approximate sampling in multivariable control systems, discussing stability, eigenvalues, and system properties.

Multivariable Control: Design and Analysis

Explores integral control, disturbance estimation, controller design, and observer design in multivariable control systems.

Controllability and Reachability

Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.

Eigenvalue Assignment in Multivariable Control

Explores Eigenvalue Assignment in multivariable control, emphasizing the effects of discretization and the challenges in preserving system structure.

Multivariable Control: Eigenvalue Assignment and Disturbance Estimation

Discusses closed-loop eigenvalue selection and disturbance impact in multivariable control systems.

Linear Quadratic Optimal Control: Analysis and Solution

Explores Linear Quadratic optimal control, analyzing cost, and presenting the solution to the FH-LQ problem.

Nonlinear Model Predictive Control

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

Introduction to Multivariable Control

Covers the basics of multivariable control, including system modeling, temperature control, and optimal strategies, emphasizing the importance of considering all inputs and outputs simultaneously.

Multivariable Control: Linear Quadratic Gaussian Control

Explores linear quadratic Gaussian control and the challenges of modeling errors in control systems.

Luenberger Observers: Separation Principle

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

Stability: Poles, Zeros, and Control

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.