传感器失效下不确定离散时滞系统的静态输出反馈鲁棒可靠保成本控制

针对一类参数不确定离散时滞系统,研究了当传感器发生增益故障情况下的静态输出反馈保成本可靠控制器设计问题.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输出增益故障.根据Lyapunov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静态输出反馈保成本鲁棒可靠控制律的存在条件.通过求解由一组线性矩阵不等式所表示的凸优化问题可以得到使得闭环保成本上界最小的鲁棒可靠控制器.最后通过仿真示例说明所提出方法的正确性.

Static Output Feedback Robust Rel iable Guaranteed Cost Control for Uncertain Discrete Time Delayed Systems against Gain Failures in Sensors

The problem of static output feedback robust guaranteed cost reliable control for uncertain discrete-time delayed systems is investigated. The considered system is assumed to have generalized matched parameters uncertainties. The output signals of the sensors have part gain faults. By using Lyapunov stability theory, the sufficient conditions of the existing of both memory and memoryless robust guaranteed cost reliable controllers are given in terms of linear matrix inequalities. The robust guaranteed cost reliable controllers with minimum guaranteed cost for closed-loop systems are designed based on the solution of a convex problem in terms of a group of linear matrix inequalities. Numerical examples are given to illustrate the validity of our results.