Receding horizon control of differential difference systems with multiple delay parameters

  • Authors:
  • Hannah Michalska;Mu-Chiao Lu

  • Affiliations:
  • Department of Electrical and Computer Engineering, McGill University, Montreal, Canada;Department of Electrical and Computer Engineering, McGill University, Montreal, Canada

  • Venue:
  • ICS'06 Proceedings of the 10th WSEAS international conference on Systems
  • Year:
  • 2006

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Abstract

The paper complements a previous result concerning receding horizon control for time delayed systems which allowed only for the presence of a single delay in the system. Sufficient, computationally feasible, conditions for the existence of the receding horizon control law are presented for a general system with an arbitrary number of delay parameters. The existence conditions are clearly related to delay independent system stabilizability. It is shown that if the system is feedback stabilizable then the receding horizon control delivers one globally, uniformly, and asymptotically stabilizing control law.