参数不确定的广义T-S模糊系统的鲁棒容错保性能控制

Robust Fault-Tolerant Guaranteed Cost Control for Fuzzy Descriptor System with Uncertain Parameters

研究了参数不确定并且部分执行器可能失效的广义T S模糊系统鲁棒容错保性能控制问题·对于所容许的不确定参数,给出了鲁棒容错保性能控制器存在的充分条件·在此条件下所设计的控制器,不仅使闭环系统渐近稳定而且具有适当的性能指标·通过矩阵分解把广义系统的非严格矩阵不等式约束转化为严格矩阵不等式,克服了广义系统不能直接利用LMI工具箱的弱点,从而和正常系统一样,可以直接使用LMI工具箱求解控制器·算例说明了所给方法的可行性和有效性·

The problems of robust fault-tolerant guaranteed cost control for T-S fuzzy descriptor system with uncertain parameters and actuator failure are studied. A sufficient condition for the existence of robust fault-tolerant guaranteed cost controller is given for all admissible uncertainties. Under the condition, the designed controller not only provides the asymptotical stability of the closed-loop system but also guarantees the performance at an adequate level. The nonstrict LMIs for the descriptor system are transformed into strict ones by means of the matrix decomposition. The drawback that the LMI toolbox cant be used directly is thus overcome for descriptor system. In this way the solutions to the controller can be given via the LMI toolbox like the normal system. An illustrative example is given to show the feasibility and validity of the proposed approach.