Linear Quadratic Optimal Control: Theory and Applications

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Multivariable Control: Stability and Lyapunov Theorems

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

State-Space Representation: Structure Theorem

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

Multivariable Control: Linear Quadratic Gaussian Control

Explores linear quadratic Gaussian control and the challenges of modeling errors in control systems.

Multivariable Control: Design and Analysis

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

Learning and Control for Complex Systems

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

Eigenvalue Assignment in Multivariable Control

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

Extended Kalman Predictor: Linearized KF

Explores the Extended Kalman Predictor algorithm and the linearized Kalman Filter for multivariable control systems, discussing the challenges and applications.

Optimal Control and State Estimation

Covers the design of a regulator and state estimator for optimal control.

Exact and Approximate Sampling in Multivariable Control

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

Gradient Descent for LQR Controllers

Covers the computation of cost function for multivariable control systems using the LQR framework and applying gradient descent for controller improvement.