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

Research output: Contribution to journalConference article

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
Pages (from-to)3869-3874
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
Publication statusPublished - 2002 Dec 1
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13

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

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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