STABILITY AND H∞ DISTURBANCE ATTENUATION ANALYSIS FOR LTI CONTROL SYSTEMS WITH CONTROLLER FAILURES
STABILITY AND H∞ DISTURBANCE ATTENUATION ANALYSIS FOR LTI CONTROL SYSTEMS WITH CONTROLLER FAILURES
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DOI：
10.1111/j.1934-6093.2004.tb00188.x
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发表时间：
2004-03
影响因子：
2.4
通讯作者：
G. Zhai;Xinkai Chen;S. Takai;K. Yasuda
中科院分区：
文献类型：
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作者：
G. Zhai;Xinkai Chen;S. Takai;K. Yasuda
在本文中，我们分析了由预先设计的动态输出反馈控制器控制的线性时不变（LTI）系统的稳定性和 H∞ 扰动衰减特性，该控制器有时会由于物理或故意原因而发生故障。我们的目标是找到与控制器故障时间相关的条件，在该条件下系统的稳定性和 H∞ 扰动衰减特性保持在所需的水平。为了稳定性，通过使用分段李亚普诺夫函数，我们表明，如果控制器的不可用率小于指定常数，并且控制器故障之间的平均时间间隔（ATBCF）足够大，则可以保证系统的全局指数稳定性。对于H ∞ 扰动衰减，同样通过使用分段Lyapunov 函数，我们表明，如果控制器的不可用率小于指定常数，则具有ATBCF 的系统达到合理的加权H ∞ 扰动衰减水平，并且当ATBCF 足够大时，加权H ∞ 扰动衰减接近正常H ∞ 扰动衰减。
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 reasons. Our aim is to find conditions concerning the 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 the 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 a 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.