线性不确定时滞系统的可靠保性能鲁棒控制

Reliable Guaranteed Cost Robust Control for Linear Uncertain Time-Delay Systems

研究了含有故障执行器的线性不确定时滞系统的可靠保性能鲁棒控制问题 .执行器故障模型概括了执行器正常、执行器部分退化和执行器完全失效三种情况 ,系统的性能函数是带有故障输入项的积分二次函数 .利用Lyapunov稳定理论及矩阵不等式方法 ,得到了系统存在可靠保性能鲁棒控制器的代数矩阵不等式 (AMI)形式的充分条件和控制器的设计方法 ,给出了系统的一个可保性能的表达式 .基于LMI方法 ,给出了AMI的一个求解算法 .

The problem of the reliable guaranteed cost robust control for a class of linear uncertain time-delay systems containing actuator failures is studied. A general model of actuator failures is adopted, which covers normal operation, partial degradation and outage. The cost function of the systems is given in terms of integral quadratic function containing failure controls. By using the Lyapunov stable theory and matrix inequality approach, a sufficient condition of the existence of the reliable guaranteed cost robust controller for the systems is put forward by the solvability of algebraic matrix inequalities(AMI), and a guaranteed cost of the resulting closed-loop systems is obtained. Based on LMI approach, an algorithm for solving the AMI is presented. A numerical example is presented and some analysis results show that the results are efficient.