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

Guisheng Zhai, Xinkai Chen, Shigemasa Takai, Kazunori Yasuda

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13 Citations (Scopus)

Abstract

We analyze stability and ℋinfin 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 reasons. The aim is to find conditions concerning the controller failure time, under which the system's stability and ℋinfin 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 the global exponential stability of the system is guaranteed. For ℋinfin 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 a system with an ATBCF achieves a reasonable weighted ℋinfin disturbance attenuation level, and the weighted ℋinfin disturbance attenuation approaches normal ℋinfin disturbance attenuation when the ATBCF is sufficiently large.

Original languageEnglish
Pages (from-to)104-111
Number of pages8
JournalAsian Journal of Control
Volume6
Issue number1
Publication statusPublished - 2004 Mar 1

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Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

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