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.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||Published - 2002 12 1|
|イベント||41st IEEE Conference on Decision and Control - Las Vegas, NV, United States|
継続期間: 2002 12 10 → 2002 12 13
ASJC Scopus subject areas