Asymptotic performance in adaptive H∞ control

Sundeep Rangan, Kameshwar Poolla

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

Abstract

In adaptive control, it is often useful to distinguish between transient and asymptotic performance. In this paper, we formulate a notion of asymptotic performance for an H adaptive control problem, and consider the problem in the simple case where the unknown plant is one of a finite number of known, possible models. We consider two plant cases: a) the plants are simply static nonlinear functions, and b) the plants are linear and time-invariant. Our main result is that, for both cases, the optimal asymptotic H performance is no better than the optimal performance in the transient phase. We conclude that increased input-output data does not improve the achievable H performance. Instead, parametric uncertainty results in a persistent performance degradation, and this uncertainty cannot be resolved, even with infinite data.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Pages3755-3759
Number of pages5
Volume4
StatePublished - 1996
EventProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn
Duration: Dec 11 1996Dec 13 1996

Other

OtherProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
CityKobe, Jpn
Period12/11/9612/13/96

Fingerprint

Degradation
Uncertainty

ASJC Scopus subject areas

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

Cite this

Rangan, S., & Poolla, K. (1996). Asymptotic performance in adaptive H∞ control. In Anon (Ed.), Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 3755-3759)

Asymptotic performance in adaptive H∞ control. / Rangan, Sundeep; Poolla, Kameshwar.

Proceedings of the IEEE Conference on Decision and Control. ed. / Anon. Vol. 4 1996. p. 3755-3759.

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

Rangan, S & Poolla, K 1996, Asymptotic performance in adaptive H∞ control. in Anon (ed.), Proceedings of the IEEE Conference on Decision and Control. vol. 4, pp. 3755-3759, Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4), Kobe, Jpn, 12/11/96.
Rangan S, Poolla K. Asymptotic performance in adaptive H∞ control. In Anon, editor, Proceedings of the IEEE Conference on Decision and Control. Vol. 4. 1996. p. 3755-3759
Rangan, Sundeep ; Poolla, Kameshwar. / Asymptotic performance in adaptive H∞ control. Proceedings of the IEEE Conference on Decision and Control. editor / Anon. Vol. 4 1996. pp. 3755-3759
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