Controller Failure Time Analysis for Symmetric H Control Systems

Guisheng Zhai, Hai Lin, Panos J. Antsaklis

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

5 Citations (Scopus)

Abstract

In this paper, we consider a controller failure time analysis problem for a class of symmetric linear time-invariant (LTI) systems controlled by a pre-designed symmetric static output feedback. We assume that the controller fails from time to time due to physical or purposeful reason, and analyze stability and ℋ disturbance attenuation properties for the entire system. Our objective is to find conditions concerning controller failure time, under which the system's stability and ℋ disturbance attenuation properties are preserved to a desired level. For both stability and ℋ disturbance attenuation analysis, we show that if the unavailability rate of the controller is smaller than a specified constant, then global exponential stability of the entire system and a reasonable ℋ disturbance attenuation level is achieved. The key point is to establish a common quadratic Lyapunov-like function for the case where the controller works and the case where the controller fails.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages2459-2464
Number of pages6
Volume3
Publication statusPublished - 2003
Externally publishedYes
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: 2003 Dec 92003 Dec 12

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period03/12/903/12/12

Fingerprint

Control systems
Controllers
Asymptotic stability
System stability
Feedback

ASJC Scopus subject areas

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

Cite this

Zhai, G., Lin, H., & Antsaklis, P. J. (2003). Controller Failure Time Analysis for Symmetric H Control Systems In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 2459-2464)

Controller Failure Time Analysis for Symmetric H Control Systems . / Zhai, Guisheng; Lin, Hai; Antsaklis, Panos J.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2003. p. 2459-2464.

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

Zhai, G, Lin, H & Antsaklis, PJ 2003, Controller Failure Time Analysis for Symmetric H Control Systems in Proceedings of the IEEE Conference on Decision and Control. vol. 3, pp. 2459-2464, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 03/12/9.
Zhai G, Lin H, Antsaklis PJ. Controller Failure Time Analysis for Symmetric H Control Systems In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. 2003. p. 2459-2464
Zhai, Guisheng ; Lin, Hai ; Antsaklis, Panos J. / Controller Failure Time Analysis for Symmetric H Control Systems Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2003. pp. 2459-2464
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