中文摘要：

针对带有控制和状态滞后的一类不确定非线性时滞系统,研究了无记忆状态反馈保成本容错控制问题.应用线性矩阵不等式（LMI）给出了执行器故障时模糊闭环系统渐近稳定的充分条件,该条件保证了对所有允许的不确定性,闭环系统是渐近稳定的,而且对于一个给定的二次型成本函数,能保证闭环成本不超过某个界.应用基于LMI的凸优化方法,给出了针对系统故障的最优保成本状态反馈控制器设计.最后给出了仿真实例说明该方法的有效性.

英文摘要：

Fault-tolerant guaranteed cost control via memoryless state feedback controllers based on T-S fuzzy model has been studied for nonlinear uncertain systems with state and control delays.With linear matrix inequalities（LMIs）,the sufficient condition for asymptotic stability of the fuzzy closed-loop system in the actuator failure has been proposed,which guarantees the asymptotic stability of the closed-loop systems in all allowable uncertainties and that for a given quadratic cost function,the cost is bounded within a range.A convex optimization method based on LMI has been put forward for the design of the optimal guaranteed cost state feedback controller,which is used in system fault.Simulation results have verified the effectiveness of the proposed method.