考虑执行器故障的鲁棒H可靠控制

Robust Reliable H Control with Actuator Faults

本文采用比离散模型更一般的连续增益故障模型，提出了线性不确定系统考虑执行器故障鲁棒H∞可靠控制问题，利用 LMI分别给出了多故障鲁棒 H∞可靠控制器和单故障鲁棒 H∞可靠控制器存在的充分条件。在故障情况下，保证闭环系统渐近稳定和可接受的性能指标基础上，优化了无故障正常情况下的指标。在仿真实例中，不仅验证所提出方法的可行性，而且比较了鲁棒 H∞正常控制器和鲁棒 H∞可靠控制器的控制效果，进一步看出对系统进行最优鲁棒 H∞可靠控制器设计的必要性。

This paper is concerned with the robust reliable H∞ control design problem for linear systems with actuator faults. A more practical model of actuator faults than outage is considered. An LMI approach of designing robust reliable controller is presented for the case of multi-actuator faults and single actuator fault. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H∞ performance when some control component (actuator) faults occur and the performance in the normal case is optimized. A numerical example is also given to illustrate the design procedure and their effectiveness. Furthermore, the robust normal H∞ controller and the robust reliable H∞ controller are compared to show the necessity of reliable control.