Lectures related to Observability and Duality

Explores observability in multivariable control systems and the PBH test for system reachability.

Multivariable Control: System Theory and Applications

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

Observability and Controllability

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

Eigenvalue Assignment in Multivariable Control

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

Controllability and Reachability

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

Multivariable Control: Weight Design and Stability Analysis

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

Reachability and Controllability of LTI Systems

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

State-Space Representation: Controllability and Observability

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

Multivariable Control: System Theory and Linear Systems

Introduces multivariable control, covering system theory, linear systems, and time discretization.

Exact and Approximate Sampling in Multivariable Control

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

Duality and PBH Test in Multivariable Control

Explores duality, PBH test, observability, and exact discretization in multivariable control systems.

State-Space Representation: Structure Theorem

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

Controllability and Observability

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

Multivariable Control: Stability and Lyapunov Theorems

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

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.

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.

Multivariable Control: Design and Analysis

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

State-Space Representation: Basics & Transformations

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

Multivariable Control: System Theory and Linear Systems

Introduces the basics of multivariable control, focusing on system theory and linear systems.

Multivariable Control: Design and Analysis

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