Lectures related to Controllability

State-Space Representation: Structure Theorem

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

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

Multivariable Control: Eigenvalue Assignment and Ackermann's Formula

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

State-Space Representation: Controllability and Observability

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

StateSpace ControlCanonical: Canonical Forms

Covers control canonical form, state transformations, and full state feedback control.

Control Theory Fundamentals

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

Control Theory Fundamentals

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

StateSpace Controllability

Explores controllability in state-space models, state transformations, and their impact on state gain.

State-Space Representation: Basics & Transformations

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

Eigenvalue Assignment in Multivariable Control

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

Observability and Controllability

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

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.

Fault Simulation and Testability Analysis

Covers fault simulation, testability analysis, and fault list generation in VLSI systems.

Stability and State Feedback

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Multivariable Control: State-Feedback and Eigenvalue Assignment

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

StateSpace ControlDesign

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

Built-In Self-Test (BIST): Techniques and Implementations

Explores Built-In Self-Test (BIST) techniques in VLSI systems, covering benefits, drawbacks, implementation details, and the use of Linear Feedback Shift Registers (LFSRs) for test pattern generation.

Exact and Approximate Sampling in Multivariable Control

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

Linear Control Systems

Covers the reduction of complex systems to linear situations and controllability conditions.