一类基于T-S模型的非线性系统模糊完整性控制

Fuzzy Control Possessing Integrity Based on T-S Model for a Class of Nonlinear Systems

针对一类非线性系统的执行器故障,提出了一种基于T-S模型的模糊完整性容错控制设计方法。将不同模糊规则下的系统模型转化为其中一个模糊规则下的不确定性系统,分别给出执行器故障前后模糊控制器存在的充分条件,证明了两个充分条件存在交集的情况下,根据LMI原理设计的模糊完整性控制器使得在执行器卡死或失效时,仍然能够保证非线性闭环系统的稳定性。仿真算例表明了本方法的有效性。

For a class nonlinear system with actuator failures, a fuzzy fault-tolerant control method possessing integrity based on T-S model was proposed. By transforming the system model with different fuzzy rules to an uncertain system with a fuzzy rule, some sufficient conditions which proved the existence of the fuzzy controller against actuator failures were given respectively. If the intersection of the two sufficient conditions existed; the fuzzy controller possessing integrity designed by the Linear Matrix Inequation （LMI） could maintain the stability of the close-loop nonlinear systems when the actuator failure occurred. An example illustrates the effectiveness of the results.