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Lecture
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
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Linear Quadratic Optimal Control: Analysis and Solution
Explores Linear Quadratic optimal control, analyzing cost, and presenting the solution to the FH-LQ problem.
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.
Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, diagonalization, and quadratic forms properties.
Nonlinear Model Predictive Control
Explores Nonlinear Model Predictive Control, covering stability, optimality, pitfalls, and examples.
Multivariable Control: System Theory and Applications
Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.
Quadratic Forms and Symmetric Bilinear Forms
Explores quadratic forms, symmetric bilinear forms, and their properties.
Dynamics on Homogeneous Spaces and Interactions with Number Theory
Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.
State Representation and Controller Design
Covers state representation, controller design, LQR controllers, and optimal control criteria.