Stabilizing receding horizon H controls for linear continuous time-varying systems

K. B. Kim, Tae Woong Yoon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, new matrix inequality conditions on the terminal weighting matrices are proposed for linear continuous time-varying systems. Under these conditions, nonincreasing and nondecreasing monotonicities of the saddle point value of a dynamic game are shown to be guaranteed. It is proved that the proposed terminal inequality conditions ensure the closed-loop stability of the receding horizon H control (RHHC). The stabilizing RHHC guarantees an H norm bound of the close-loop system. The proposed terminal inequality conditions for the monotonicity of the saddle point value and the closed-loop stability include most well-known existing terminal conditions as special cases. The results for time-invariant systems are obtained correspondingly from those in the time-varying case.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages148-153
Number of pages6
Volume1
Publication statusPublished - 2000
Event39th IEEE Confernce on Decision and Control - Sydney, NSW, Australia
Duration: 2000 Dec 122000 Dec 15

Other

Other39th IEEE Confernce on Decision and Control
CountryAustralia
CitySydney, NSW
Period00/12/1200/12/15

Fingerprint

Time varying systems

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Kim, K. B., & Yoon, T. W. (2000). Stabilizing receding horizon H controls for linear continuous time-varying systems In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 148-153)

Stabilizing receding horizon H controls for linear continuous time-varying systems . / Kim, K. B.; Yoon, Tae Woong.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2000. p. 148-153.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, KB & Yoon, TW 2000, Stabilizing receding horizon H controls for linear continuous time-varying systems in Proceedings of the IEEE Conference on Decision and Control. vol. 1, pp. 148-153, 39th IEEE Confernce on Decision and Control, Sydney, NSW, Australia, 00/12/12.
Kim KB, Yoon TW. Stabilizing receding horizon H controls for linear continuous time-varying systems In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2000. p. 148-153
Kim, K. B. ; Yoon, Tae Woong. / Stabilizing receding horizon H controls for linear continuous time-varying systems Proceedings of the IEEE Conference on Decision and Control. Vol. 1 2000. pp. 148-153
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