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Lecture
Multivariable Control: Stability and Lyapunov Theorems
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Steady-state Kalman Predictor: Examples and Comparison
Discusses the steady-state Kalman predictor, provides examples, and compares Luenberger and Kalman filtering.
Duality and PBH Test in Multivariable Control
Explores duality, PBH test, observability, and exact discretization in multivariable control systems.
Observability and Duality
Delves into the observability of LTI systems, covering controllability, duality, and observability tests.
State Observers and Output-Feedback Controllers
Covers the design and implementation of state observers and output-feedback controllers in multivariable control systems.
State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
Stability and Reachability in Multivariable Control
Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.
Multivariable Control: State-Feedback and Eigenvalue Assignment
Covers state-feedback controller design for multivariable systems and discusses simplified methods for MIMO systems.
Sparse Matrices in Multivariable Control
Explores sparse matrices in multivariable control, emphasizing projection computation and PGD convergence.
Offset-free tracking: Necessary conditions and Feedforward compensation
Explores offset-free tracking in multivariable control, covering necessary conditions and feedforward compensation to reject disturbances and achieve constant setpoints.
Multivariable Control: Eigenvalue Assignment and Disturbance Estimation
Discusses closed-loop eigenvalue selection and disturbance impact in multivariable control systems.