Linear Quadratic Optimal Control: Analysis and Solution

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Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.

Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.

Explores Nonlinear Model Predictive Control, covering stability, optimality, pitfalls, and examples.

Covers state representation, controller design, LQR controllers, and optimal control criteria.

Explores Linear Quadratic optimal control theory, covering FH-LQ and IH-LQ problems and the importance of observability in control systems.

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

Explores Dynamic Programming for optimal control, covering machine replacement, Markov chains, control policies, and linear quadratic problems.

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

Explores symmetric matrices, diagonalization, and quadratic forms properties.