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中文摘要：
提出了一种新的故障建模方法，把包含执行机构损伤、完全失效和卡死的故障系统统一表示为具有凸多面体结构的变参数系统。然后，通过二次可分原理，求解只包含关于凸多面体各顶点的有限个线性矩阵不等式，给出了容错控制器存在的充分条件。最后，利用各顶点控制器参数综合获得具有凸多面体结构的线性变参数控制器。仿真结果表明：当执行机构正常或发生故障时，系统均具有较好的控制效果和动态性能。
英文摘要：
A novel fault modeling method is proposed and a fault system with the actuator impairment or the outage is described as some parameter-varying system with the convex polyhedral structure. Then, through quadratic separators, the sufficient condition of the fault tolerant controller existence can be transformed into the problem of solving some limited number of linear matrix inequalities, including each vertex of the convex polyhedron. Finally, linear parameter-varying controller with the convex polyhedral structure can be obtained by using the controller parameters of each vertex. Simulation results indicate that the design idea and the modeling method have the better control effect and the dynamical performance when the actuator is in the normal case or faulty case.
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