Lectures in course ME-422: Multivariable control

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: System Theory and Applications

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

Multivariable Control: System Theory and Linear Systems

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

Multivariable Control: System Theory and Linear Systems

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

Linear Systems: Equilibria and Stability

Explores linear systems' equilibria, stability, and modes, including Lyapunov stability and exponential stability.

Multivariable Control: Equilibria and Stability Analysis

Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.

Multivariable Control: Eigenvalues and Modes

Explores eigenvalues and modes in multivariable control systems, focusing on their analysis and behavior.

Modes and Stability of LTI Systems

Explores the analysis of free states and modes in multivariable control systems, emphasizing stability properties and practical examples.

Stability and Eigenvalues of LTI Systems

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

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Reachability and Controllability of LTI Systems

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

Controllability and Reachability

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

Observability in Multivariable Control

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

Observability and Duality

Delves into the observability of LTI systems, covering controllability, duality, and observability tests.

Discretisation of Continuous Time Systems

Explores the discretisation of continuous-time systems for digital control and stability preservation.

Duality and PBH Test in Multivariable Control

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

Eigenvalue Assignment in Multivariable Control

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

Exact and Approximate Sampling in Multivariable Control

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

Multivariable Control: State-Feedback and Eigenvalue Assignment

Covers state-feedback controller design for multivariable systems and discusses simplified methods for MIMO systems.

Multivariable Control: Eigenvalue Assignment and Ackermann's Formula

Explores control problems, eigenvalue assignment, and canonical controllability form for single-input systems.