Controller failure time analysis for symmetric ℋ control systems

Guisheng Zhai, Hai Lin

Research output: Contribution to journalArticlepeer-review

63 Citations (Scopus)


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 controller. We assume that the controller fails from time to time due to a physical or purposeful reason, and we analyse stability and ℋ disturbance attenuation properties of the entire system. 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 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 entire system in two different situations.

Original languageEnglish
Pages (from-to)598-605
Number of pages8
JournalInternational Journal of Control
Issue number6
Publication statusPublished - 2004 Apr 15
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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