A gain-scheduled approach to fault-tolerant control for discrete-time stochastic delayed systems with randomly occurring actuator faults

A gain-scheduled approach to fault-tolerant control for discrete-time stochastic delayed systems with randomly occurring actuator faults
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具有随机发生执行器故障的离散时间随机延迟系统的容错控制增益调度方法

DOI:
10.1080/21642583.2013.842509
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发表时间:
2013-11
期刊:
Systems Science & Control Engineering: An Open Access Journal
影响因子:
--
通讯作者:
Fei Han
Fei Han
中科院分区:
其他
文献类型:
--
作者:
Guoliang Wei;Wangcheng Li;Fei Han

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研究了一类离散随机非线性时滞系统在随机发生执行器故障时的概率依赖增益调度容错控制问题.执行器故障的发生是由一个随机序列建模的时变伯努利分布与可测量的概率在真实的时间。假设非线性函数满足扇区非线性。所解决的容错控制问题的目的是设计一个具有预定增益的控制器,使得对于容许的ROAF、非线性、时滞和噪声,闭环系统是指数均方稳定的,同时保持H∞性能保证。利用半定规划方法,得到了依赖于执行器故障发生概率的时变容错控制器。因此,主要结果导致较少的保守性比传统的方法与固定的控制器增益只。一个仿真例子被用来证明所提出的设计方法的有效性。
This paper is concerned with the probability-dependent gain-scheduled fault-tolerant control problem for a class of discrete-time stochastic nonlinear delayed systems with randomly occurring actuator faults (ROAFs) by utilizing parameter-based Lyapunov functional. The occurrence of the possible actuator faults is modeled by a random sequence in terms of a time-varying Bernoulli distribution with measurable probability in real time. The nonlinear functions are assumed to satisfy the sector nonlinearities. The purpose of the addressed fault-tolerant control problem is to design a controller with scheduled gains such that, for the admissible ROAFs, nonlinearities, time delays and noises, the closed-loop system is exponentially mean-square stable while preserving a guaranteed H∞ performance. By using the semi-definite programme method, the time-varying fault-tolerant controller is derived which is dependent on the occurrence probability of the actuator faults. Therefore, the main results lead to less conservatism than those obtained by conventional methods with fixed controller gains only. A simulation example is exploited to demonstrate the effectiveness of the proposed design procedures.
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