Multivariable Control: System Theory and Linear Systems

Related lectures (32)

Page 2 of 4

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

Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.

Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.

Delves into the observability of LTI systems, covering controllability, duality, and observability tests.

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.

Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.

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

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.