多故障并发不确定系统的鲁棒完整性容错控制

Robust tolerant control possessing integrity for uncertain systems with concurrent faults

针对传统容错控制方法难以保证非线性系统在执行器和传感器多故障并发情形下的稳定性问题,研究了一类时滞不确定模糊系统的鲁棒完整性容错控制方法。建立了基于T-S模糊逻辑的不确定非线性模型,定义执行器和传感器故障阵的标准归一化形式,在利用Newton-Leibniz公式变换系统结构的基础上,根据线性矩阵不等式技术给出了鲁棒容错控制器存在的时滞相关性充分条件,以保证整个闭环系统在执行器和(或)传感器发生故障时的稳定性,同时满足给定的广义鲁棒性能约束,联合抑制扰动、初始状态和时滞状态对系统性能的影响。最后仿真结果验证了方法的必要性和可行性。

Since the traditional tolerant control methods can not guarantee the stability of the nonlinear systems with concurrent actuator and sensor faults,the robust tolerant control possessing integrity for a class of time-delay uncertain fuzzy systems is discussed in this paper.The uncertain nonlinear systems are described by the T-S fuzzy model,and the standard and normalized fault matrices are defined in advance,then based on the system structure transformation by Newton-Leibniz formula,the delay dependent sufficient conditions on the existence of the robust tolerant controllers are derived by linear matrix inequalities,so that the closed-loop systems are stable even when the actuator and（or）the sensor faults occur,and the generalized robust performance also can be satisfied to restrain the influence of the disturbances,the initial and delayed states.Finally,the simulation results indicate the feasibility and the validity of the proposed method.