Multivariable Control (ELL333)

• Lectures timing and venue: (11:00 AM – 12:00 Noon, On Tuesday, Thursday and Friday, LH408)

• TAs: Rudra Sen (eez218218@ee.iitd.ac.in) and Sabyasachi Kundu (eea222698@ee.iitd.ac.in)

Syllabus

• System representations: Transfer function, state space

• Mathematical preliminaries: Vector spaces, Fundamental subspaces, Matrix operator, Similarity transformation, matrix decompositions, Matrix exponential.

• System Analysis: Time response, Stability theory, Controllability, Observability, Stabilizability and Detectability, Kalman decomposition.

• State feedback control

• LQR Control

• Luenberger observer and separation principle

• Kalman filter

Evaluation

• Quiz 1: 10%

• Quiz 2: 10%

• Minor : 40%

• Major: 40%

• For NP (Audit) grade: Minimum 40 marks (Out of 100)

Reference books

• “Linear Systems” by T. Kailath, Prentice-Hall, Upper Saddle River, 1980.

• “Linear Systems” by P. J. Antsaklis and A. N. Michel, Birkhauser Boston, 2006.

• “Linear Multivariable Systems” by W. A. Wolovich, Springer-Verlag, NY, 1974.

• “Control System Design: An Introduction to State-Space Methods” by B. Friedland, Dover Books on Electrical Engineering, 2005.

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