MODULE TITLE  Mathematical Control Theory       MODULE CODE: MS4328

PRE-REQUISITE MODULES   MS4403 or MA4002/3

GRADING TYPE  Normal                                         CREDITS       6

AIMS/OBJECTIVES
To give the student an understanding of the problems and methods of Mathematical Control Theory from the state variable viewpoint

SYLLABUS
The concept of  state : the state equation  and its solution.  State transformations.

Reachability, Controllability and Observability.

Stability  and the  Lyapunov approach.

Feedback control : Pole Placement, Observers; Non-interacting Control.

Optimal control : Linear quadratic systems.

Switched Systems.

Control of chaotic systems : trajectory tracking.

Introduction to Geometric control.

PRIME TEXT(S)

Astrom K.J. and Murray R.M 2008, Feedback Systems, Princeton University Press

Sontag E.D. 1998 , Mathematical Control Theory (2nd Ed.),  Springer Verlag

OTHER RELEVANT TEXT(S)       

Khalil H.K. 2001, Nonlinear Systems (3rd Ed.), Prentice Hall