Asymptotic achievability for linear time invariant state space systems.

Harsh Vinjamoor*, Arjan van der Schaft

*Corresponding author for this work

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Abstract

We consider here the problem of finding a controller such that when interconnected to the plant, we obtain a system which is asymptotically equivalent to a desired system. Here 'asymptotic equivalence' is formalized as 'asymptotic bisimilarity'. Intuitively speaking, two systems are asymptotically bisimilar if the difference between their outputs decays to zero with time. We give necessary and sufficient conditions for the existence of such a controller. These conditions can be verified computationally using standard algorithms in linear geometric control. The systems we consider are linear time invariant input-state-output systems.

Original languageEnglish
Title of host publication49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Place of PublicationNEW YORK
PublisherUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Pages5999-6003
Number of pages5
ISBN (Print)978-1-4244-7746-3
Publication statusPublished - 2010
Event49th IEEE Conference on Decision and Control (CDC) - , United States
Duration: 15-Dec-201017-Dec-2010

Other

Other49th IEEE Conference on Decision and Control (CDC)
CountryUnited States
Period15/12/201017/12/2010

Keywords

  • Linear systems
  • bisimulations
  • achievability
  • canonical controller
  • interconnection
  • BISIMULATION
  • EQUIVALENCE

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