Robust tracking and disturbance rejection in linear hybrid systems

Iftar A.

8th IASTED International Conference on Intelligent Systems and Control, Cambridge, Canada, 31 October - 02 November 2005, pp.483-487 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • City: Cambridge
  • Country: Canada
  • Page Numbers: pp.483-487
  • Keywords: hybrid systems, tracking, disturbance rejection, robustb control, servomechanism problem, linear systems, SERVOMECHANISM PROBLEM
  • Anadolu University Affiliated: No


Robust tracking and disturbance rejection problem, which is commonly referred as the robust servomechanism problem, is considered for linear hybrid systems. The necessary and sufficient conditions for the existence of a solution to this problem are presented. It is shown that, these conditions are exact counterparts of the conditions in the case of linear continuous-state systems or linear discrete-event systems. Furthermore, as in the case of continuous-state systems or discrete-event systems, the solution (if exists) involves two parts: (i) a servocompensator which mimics the dynamics of the reference and disturbance; and (ii) a stabilizing compensator which asymptotically stabilizes the system obtained by augmenting the plant and the servocompensator.