研究了部分执行器可能失效的T—S模糊系统鲁棒容错控制问题。对于所给系统,给出了鲁棒容错控制器存在的一个新的稳定条件。在此条件下所设计的控制器,可使闭环系统渐近稳定。通过矩阵分解把系统的非严格矩阵不等式约束转化为严格矩阵不等式,可以直接使用LMI工具箱求解器,仿真例子说明了所给方法的可行性和有效性。
The problems on robust fault-tolerant control for T-S fuzzy system with actuator failure were studied. A new sufficient condition for the existence of robust fault-tolerant controller was given. Under this condition, the designed controller can provide the closed-loop system with asymptotical stability. The non strict LMIs for the system were transformed into strict ones by means of the matrix decomposition. In this way, the solutions to the controller can be given via the LMI toolbox. An illustrative example was proposed to expatiate the feasibility and validity of the proposed approach.