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Lecture
Gradient Descent for LQR Controllers
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Infinite-Horizon LQ Control: Solution & Example
Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.
Multivariable Control: Weight Design and Stability Analysis
Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.
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.
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: Design and Analysis
Covers the design and analysis of multivariable control systems, focusing on stability and zero steady-state tracking error.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Multivariable Control: System Theory and Applications
Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.
Multivariable Control: Linear Quadratic Gaussian Control
Explores linear quadratic Gaussian control and the challenges of modeling errors in control systems.
Sparse Matrices in Multivariable Control
Explores sparse matrices in multivariable control, emphasizing projection computation and PGD convergence.
Controllability and Reachability
Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.
