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

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.