Lectures related to Control theory

Learning and Control for Complex Systems

Explores learning and control for complex systems, addressing challenges and opportunities in technology and interdisciplinary research.

Controllability and Reachability

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

State Observers and Output-Feedback Controllers

Covers the design and implementation of state observers and output-feedback controllers in multivariable control systems.

Stability: Poles, Zeros, and Control

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

Multivariable Control: Eigenvalue Assignment and Disturbance Estimation

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

Nyquist Criterion: Stability Analysis

Covers the Nyquist criterion for stability analysis in control systems, using the Nyquist diagram to determine closed loop poles.

Multivariable Control: Design and Analysis

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

Frequency Methods Recap

Provides a recap on frequency methods for designing PD controllers for systems.

Observability and Governability

Explores observability, governability, state regulators, and canonical forms in dynamic systems.

State-Space Representation: Controllability and Observability

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

Control Theory Fundamentals

Introduces control theory fundamentals, including controllability and invertibility of systems.

Reachability and Controllability of LTI Systems

Explores reachability and controllability of LTI systems, discussing testing methods, properties, definitions, and their relationship.

Eigenvalue Assignment in Multivariable Control

Explores Ackermann's formula and methods for eigenvalue assignment in multivariable control systems.

Control Theory Fundamentals

Covers the basic concepts of control theory and the selection of optimal controls.

Multivariable Control: Design and Analysis

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

StateSpace ControlDesign

Explores full state feedback control design, focusing on pole placement and linear state-feedback controller design for systems like a pendulum.

Stability of ODE

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

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.

Exact and Approximate Sampling in Multivariable Control

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