Stability and H disturbance attenuation analysis for LTI control systems with controller failures

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

9 Citations (Scopus)

Abstract

In this paper, we analyze stability and H disturbance attenuation properties for linear time-invariant (LTI) systems controlled by a pre-designed dynamical output feedback controller which fails from time to time due to physical or purposeful reason. Our aim 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 stability, by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures (ATBCF) is large enough, then global exponential stability of the system is guaranteed. For H disturbance attenuation, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then the system with an ATBCF achieves a reasonable weighted H disturbance attenuation level, and the weighted H disturbance attenuation approaches normal H disturbance attenuation when the ATBCF is sufficiently large.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3869-3874
Number of pages6
Volume4
Publication statusPublished - 2002
Externally publishedYes
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period02/12/1002/12/13

Fingerprint

Control systems
Controllers
Lyapunov functions
Asymptotic stability
System stability
Feedback

Keywords

  • (Weighted) H disturbance attenuation
  • Average time between controller failures
  • Controller failure
  • Dynamical output feedback
  • Exponential stability
  • Linear time-invariant (LTI) system
  • Piecewise lyapunov function
  • Unavailability rate

ASJC Scopus subject areas

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

Cite this

Zhai, G. (2002). Stability and H disturbance attenuation analysis for LTI control systems with controller failures In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 3869-3874)

Stability and H disturbance attenuation analysis for LTI control systems with controller failures . / Zhai, Guisheng.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2002. p. 3869-3874.

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

Zhai, G 2002, Stability and H disturbance attenuation analysis for LTI control systems with controller failures in Proceedings of the IEEE Conference on Decision and Control. vol. 4, pp. 3869-3874, 41st IEEE Conference on Decision and Control, Las Vegas, NV, United States, 02/12/10.
Zhai G. Stability and H disturbance attenuation analysis for LTI control systems with controller failures In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. 2002. p. 3869-3874
Zhai, Guisheng. / Stability and H disturbance attenuation analysis for LTI control systems with controller failures Proceedings of the IEEE Conference on Decision and Control. Vol. 4 2002. pp. 3869-3874
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