基于输出反馈的鲁棒容错D-稳定性分析

D-stability Analysis of Robust Fault-Tolerant Control Based on Output Feedback

研究线性不确定系统基于输出反馈的鲁棒容错控制问题。基于连续型执行器故障模式,利用线性矩阵不等式LMI,给出了系统基于输出反馈的鲁棒容错D-稳定的充分条件,并把控制器的设计方法归结为求解一族线性矩阵不等式组。与常规的方法相比,给出的控制器不仅保证闭环系统对执行器故障具有完整性,并且使闭环系统的极点配置在指定区域D中。通过仿真示例表明,无论执行器发生故障与否,得到的基于输出反馈的鲁棒容错控制器均保证闭环系统是D-稳定的,从而验证了所提出设计方法的有效性。

The problem of robust fault-tolerant control based on output feedback for uncertain systems is considered. Based on an actua- tor failure model with continuous gain, a sufficient condition for the existence of robust fault-tolerant D-stability based on output feedback is derived by means of linear matrix inequality. The controller is designed by solving a set of linear matrix inequalities. In contrast to the previous works, the proposed controller not only enables the closed-loop system to possess integrity against actuator faults but also guarantees the closed-loop poles placed within the assigned region D. A numerical example show that the obtained controller guarantees the closed-loop system to be D-stable regardless of the actuator faults or not. And it is illustrated the effectiveness of the proposed method.