具有随机传感器和执行器故障的T-S模糊离散系统的可靠性控制  

RELIABLE CONTROL FOR T-S FUZZY DISCRETE SYSTEM WITH STOCHASTIC SENSORS AND ACTUATORS FAULTS

作　　者：刘金良[1] 

机构地区：[1]南京财经大学应用数学学院,南京210046

出　　处：《系统科学与数学》2013年第3期309-321,共13页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11226240;61074025;60774060;60834002);江苏省自然科学基金-青年基金(BK2012469);江苏省省属高校自然科学基金(12KJD120001);江苏高校优势学科建设工程资助项目资助课题

摘　　要：讨论了一类含有随机传感器和执行器故障的T-S模糊离散系统可靠性控制问题.每个传感器和执行器的故障都是随机出现的,它失真的概率用两个不相关的满足一定概率分布的随机变量来表示.其中,随机传感器和执行器故障用两个不相关的随机矩阵来表示,基于随机感器和执行器故障建立新的数学模型,运用李亚普诺夫泛函理论和线性矩阵不等式技术设计其可靠性控制器,最后通过仿真验证所提方法的有效性.This paper considers the reliable control design for T-S fuzzy discrete system with stochastic sensors and actuators faults. The faults of each sensor or ac- tuator occurs randomly and its failure rates are governed by two sets of unrelated random variables satisfying certain probabilistic distribution. In terms of the proba- bilistic failures of every sensor or actuator, new fault model is proposed. Based on the new fault model, reliable controller is designed and sufficient conditions for the expo- nentially mean square stability of T-S fuzzy systems are derived by using Lyapunov functional method and linear matrix inequality （LMI） technique. Finally, a numerical example is given to show the effectiveness of the proposed method.

关 键 词：可靠性控制 模糊系统 概率性失真 离散系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]