Lectures related to Linear Control Systems

State-Space Representation: Structure Theorem

Covers the structure theorem for state-space representations and companion forms.

State-Space Representation: Controllability and Observability

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

Control Theory Fundamentals

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

Linear Systems Control: Fundamentals and Applications

Explores linear systems control fundamentals, controllability, and optimal control choices.

Controllability and Observability

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

Controllability and Reachability

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

State-Space Representation: Basics & Transformations

Covers the basics of state-space representation and explores transformations to different forms.

Control Theory Fundamentals

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

Observability and Controllability

Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.

Infinite-Horizon LQ Control: Solution & Example

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

Nonlinear Model Predictive Control

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

Bode Diagram Synthesis

Covers the synthesis in the Bode diagram, dynamic controls, and the link between the Bode and Nyquist diagrams.

Multivariable Control: Weight Design and Stability Analysis

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

Effects of Poles and Zeros on System Response

Explores the effects of poles and zeros on system response and the importance of system modeling and control strategies.

Learning and Control for Complex Systems

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

Stability of ODE

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

Model Reference Method: PID Regulator Design

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

Stability: Poles, Zeros, and Control

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

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

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.