摘要
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。
The robust D stabilization problem is discussed for a class of Takagi Sugeno fuzzy models with uncertainties. The notion of quadratic D stability is generalized to the uncertain nonlinear systems which reduce to a set of Takagi Sugeno fuzzy models. The D subrigion of the complex plane is defined basedonLMIrepresentationandtherobust D stabilityconditionisestablished in termsofthe feasibilityofaclassofLMIs.Usingparalleldistributedcompensation(PDC),localrobust D stabilizable controllers via state feedback are derived by the numerical solutions of a set of coupled LMIs and the global controller is a fuzzy blending of the local linear controllers. An example of mass spring damper is given to illustrate the results.
出处
《控制与决策》
EI
CSCD
北大核心
2002年第5期532-535,540,共5页
Control and Decision
基金
国家杰出青年基金项目 (6 0 0 2 5 30 8)
中国高等学校优秀青年教师教学和科研奖励基金项目
