带有混合故障模型的不确定线性系统可靠控制

Reliable Control for Linear Uncertain Systems with Mixed Fault

针对线性不确定系统,提出了更一般更实际的混合故障模型来研究系统可靠控制器存在问题。混合故障模型是指在一个系统中同时包含离散的故障模型和连续的故障模型,混合故障模型的建立把离散的故障模型和连续的故障模型结合到了一起,这样设计的控制器使系统的保守性更小,尤其还考虑到了线性系统的不确定问题,并给出了设计具有混合故障模型的闭环系统的可靠控制器的充分条件。通过求解LMI(线性矩阵不等式)完成状态反馈可靠控制器的设计。仿真实例验证了混合故障模型设计控制器方法的可解性和可行性。

The reliable design problem of mixed fault model with actuator failure for linear uncertain systems is discussed.A more practical and general model of actuator failure is presented.Mixed fault model means discrete fault model and continuous fault model coexisting in a system,which puts the discrete and continuous fault model together effectively and makes the system less conservative, especially consider the uncertainty for linear system.A sufficient condition of mixed fault model reliable controller for the closed-loop system is given.State feedback controller is designed by solving LMI（linear matrix inequality）.An illustrative example and a simulation result show the efficiency in a system.