Decentralized controllable subspace and unobservable subspace of large-scale systems

Hong En Zhong, Feng Qi Zhou, Jun Zhou

Research output: Contribution to journalArticlepeer-review

Abstract

The concepts of decentralized controllable subspace and unobservable subspace are presented. The relations between them and their counterparts in centralized control were explored respectively. An approach similar to the geometric control theory in centralized control was adopted. The result shows that the decentralized controllable subspace and unobservable sub-space are the natural generalization of the controllable subspace and unobservable subspace to decentralized control respectively. Based on these concepts, some problem, such as stabilizing of large-scale systems by time-varying decentralized control, can be dealt with easily by a geometric approach.

Original languageEnglish
Pages (from-to)419-422
Number of pages4
JournalKongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume21
Issue number3
StatePublished - Jun 2004

Keywords

  • Decentralized controllable subspace
  • Decentralized unobservable subspace
  • Piecewise constant decentralized control

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