一类不确定切换系统的容错控制与极点配置

分析一类非线性不确定切换系统的容错控制与基于状态反馈的极点配置。系统包含有界未知结构的不确定性和未知非线性项。在各子系统不稳定的前提下,设计切换系统的状态反馈控制器,基于Lyapunov稳定性理论和LMI方法,保证在任意切换下不确定系统在传感器和执行器同时失效情况下具有鲁棒容错控制性能的充分条件。在此基础上研究该系统的极点配置在左半复平面选定圆域内以理想速度渐近衰减。文中得到了容错控制切换系统可状态反馈镇定的充分条件,然后用易于求解的线性矩阵不等式形式给出结果,最后通过仿真验证所设计的切换系统的极点配置在圆域内,在状态反馈控制器下渐近稳定。

The Fault-tolerant Control and the Pole Assignment for a Class of Uncertain Switched Systems

The problems of fault-tolerant control and the pole assignment for a class of uncertain switched linear systems are addressed in this paper.The switched systems not only have unknown,norm-bounded uncertainty in system’s structure,but also have unknown nonlinear.When all the subsystems are not exponentially stable,based on Lyapunov stability theory and linear matrix inequality(LMI),a method of robust fault-tolerant control against sensor and actuator failures at the same time for uncertain systems is presented via memoryless state feedback control law.And then each subsystem’s eigenvalues are inside a chosen circle on the open left-half complex plane and the states of the systems are asymptotic stability.Both of the sufficient conditions for the fault-tolerant control switched system and pole assignment are obtained.And then the result is expressed in the form of linear matrix inequalities,which can be solved easily.Finally the simulation shows that the designed controller can make the states of the switched systems asymptotically stable under the arbitrary switching strategy with poles inside chosen circles and minimum disturbance attenuation level.