含传感器增益故障的不确定离散时滞系统静态输出反馈鲁棒H_∞容错控制

Static output feedback robust H_∞ fault tolerant control for uncertain discrete-time delayed systems against gain failures in sensors.

针对一类含有不确定参数的离散时滞系统,研究了当传感器发生增益故障情况下的静态输出反馈鲁棒H∞容错控制器设计问题.系统中的参数不确定性满足广义匹配条件,传感器元件具有部分增益故障.根据Lya-punov稳定性理论和线性矩阵不等式(LMI)方法,分别给出了含有时滞记忆和无时滞记忆静态输出反馈鲁棒容错镇定控制器以及静态输出反馈H∞容错控制器的存在条件.通过求解一组线性矩阵不等式可以得到使得闭环系统渐近稳定并且H∞范数小于给定界γ的鲁棒容错控制器.最后通过仿真示例说明本文提出设计方法的正确性.

The problem of static output feedback robust H∞, fault tolerant control for uncertain discrete-tlme delayed systems was investigated. The considered system was assumed to have generalized matched parametric uncertainties and the output signals of the sensors have part gain faults. By using Lyapunov stability theory, the sufficient conditions for the existence of both memory and memoryless robust fault tolerant stabilization controllers were given in terms of linear matrix inequalities. Based on the solutions of a group of linear matrix inequalities, the robust H∞ fault tolerant controllers were designed. Numerical examples were given to illustrate the validity of our results.