Delta算子时滞系统的可靠D--镇定

Reliable D-stabilization for time-delay systems of Delta operator

中文关键词  D--稳定  D--镇定  Delta算子时滞系统  可靠控制  执行器故障  传感器故障

英文关键词  D-stability  D-stabilization  time-delay system of delta operator  reliable control  actuator failure  sensor failure

中文摘要

      研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D--镇定问题. 利用矩阵特征值理论和线性矩阵不等式方法, 给出了Delta算子时滞系统D--稳定的充分条件, 进而, 针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统, 设计鲁棒可靠D--镇定状态反馈控制器, 使得对于所有容许的不确定性、执行器故障和传感器故障, Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内. 最后, 通过数值算例验证了控制器设计方法的可行性和有效性.

英文摘要

      The robust reliable D-stabilization for linear uncertain time-delay systems of delta operator is studied. Based on matrix theory, a sufficient condition of D-stability for the uncertain time-delay system of delta operator is derived based on the linear matrix inequality (LMI) approach. A design method for the state-feedback robust reliable controller is developed for a class of uncertain time-delay systems of delta operator, which are with actuator failure and sensor failure. Using the controller, the poles of the closed-loop time-delay system of delta operator are displaced inside a specified disk on the complex plane for all admissible uncertainties and faults. A numerical example is provided to demonstrate the availability of the design method.