参数不确定广义系统鲁棒H_∞容错控制器的设计

Robust H∞ fault-tolerant controller design for singular systems with parameter uncertainty

研究了一类不确定广义系统基于状态反馈针对执行器发生故障的鲁棒H∞容错控制问题;运用线性矩阵不等式(LMI)给出了鲁棒H∞容错控制器存在的充分条件;通过假设失效的执行器的输出信号是任意的能量有界干扰信号,将不确定广义系统的鲁棒H∞容错控制问题化为H∞控制问题,给出了该问题可解性的充分条件。鲁棒H∞容错控制器可以通过解相应的线性矩阵不等式(LMI)给出,因而具有数值易解性。最后,所给的设计例子说明了方法的有效性。

In this paper, robust H∞ fault-tolerant control problem for singular systems with parameter uncertainty and actuator failures is discussed. In the light of the linear matrix inequality approach, a sufficient condition for the existence of the fault-tolerant feedback controller is obtained. By assuming the output of fault actuator to be any arbitrary energy-bounded signal, the robust H∞ fault-tolerant control problem of uncertain singular systems is transformed into the problem of H∞ control of uncertain singular systems, from which, a sufficient condition is derived. The controller can be obtained by solving a corresponding LMI, which is tractable. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.