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针对 T- S模糊模型描述的不确定非线性系统 ,应用二次 D-稳定概念 ,对给定复平面上的某一D域提出模糊系统全局鲁棒 D-稳定的充分条件 ,基于并行分布补偿 (PDC)技术 ,各局部状态反馈镇定控制器设计归结于解一组耦合线性矩阵不等式 (L MI) ,全局控制器通过隶属度函数由各局部控制器混合而成 ,并以此保证整个系统的鲁棒 D-稳定性。最后用质量弹簧阻尼系统给出了仿真示例。
For the uncertain nonlinear system described by T-S fuzzy model, the sufficient condition of globally robust D-stability for a fuzzy system is proposed for a given D-domain on a given complex plane by applying the second D-stability concept. Based on the parallel distributed compensation (PDC) technology, the design of each local state feedback stabilization controller is due to the solution of a set of coupled linear matrix inequalities (LMI). The global controller is a mixture of local controllers through the membership function, so as to ensure that the entire system Robust D-stability. Finally, the mass spring damping system is given a simulation example.