State Observers and Output-Feedback Controllers

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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: State-Feedback and Eigenvalue Assignment

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

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.

Model Reference Method: PID Regulator Design

Explores the Model Reference Method for designing PID regulators and cascade controllers for complex systems.

Steady-state Kalman Predictor: Examples and Comparison

Discusses the steady-state Kalman predictor, provides examples, and compares Luenberger and Kalman filtering.

Multivariable Control: Kalman Predictor and Estimators

Explores Kalman predictors and estimators in multivariable control systems.

Feedback Control Systems: PID Regulator Synthesis

Explores closed-loop control systems, PID regulator design, and performance analysis.

Kalman Filter: Linearized vs Extended

Explores the linearized and extended Kalman Filters, illustrating their application in nonlinear systems and the estimation of unknown parameters.

Multivariable Control: State Estimation and Kalman Filtering

Explores state estimation and Kalman filtering for multivariable control systems, with applications in communication channels and vehicle navigation.

Controllability and Reachability

Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.