Multivariable Control: State Estimation and Disturbance Rejection

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Multivariable Control: Observers and Controllers

Covers the design of reduced-order observers and output feedback controllers in multivariable control systems.

Multivariable Control: Reduced-Order Observers

Focuses on designing reduced-order observers in multivariable control systems, emphasizing the importance of observers and eigenvalue assignment in controller design.

Linear Quadratic Optimal Control: Analysis and Solution

Explores Linear Quadratic optimal control, analyzing cost, and presenting the solution to the FH-LQ problem.

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.

State Observers and Output-Feedback Controllers

Covers the design and implementation of state observers and output-feedback controllers in multivariable control systems.

Sparse Matrices in Multivariable Control

Explores sparse matrices in multivariable control, emphasizing projection computation and PGD convergence.

Observers References

Explores the addition of a reference input to controllers and the design of autonomous and tracking-error estimators.

Gradient Descent for LQR Controllers

Covers the computation of cost function for multivariable control systems using the LQR framework and applying gradient descent for controller improvement.

Kalman Filter: Minimal Variance Estimator

Explores the Kalman filter as a minimal variance estimator and its application in estimating position and velocity.