ELL 333: Multivariable Control

Venue: LH510, Time: MTh 930-11am.

Syllabus

• Introduction, Examples of Multivariable Control Systems.

• Classial Control Recap.

• Systems as Differential Equations: Solution using state variables.

• Systems with Inputs: Controllability.

• Systems with Output: Observability, Kalman Decomposition.

• Controller Canonical Form for SISO system/Pole-zero Cancellation.

• Stability, Pole Placement and Stabilizability.

• Observer, Detectability and Separation Principle.

• Disturbance Decoupling Problem.

• Optimal Control, LQR and LQG.

• Kalman Filter.

Reference Books

• K. J. Astrom and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Princeton University Press, 2008.

• Control Theory for Linear Systems by H. L. Trentelman, A. A. Stoorvogel, M. Hautus.

• Linear Multivariable Control- A Geometric Approach by M. Wonham.

• Linear Systems by Thomas Kailath.