一类非线性时滞互联系统的保性能控制  

Guaranteed Cost Control for Nonlinear Interconnected Systems with Time-delays

作　　者：赵斐斐[1] 纪洲鹏[1] 

机构地区：[1]海口经济学院公共课部,海南海口571127

出　　处：《辽宁工业大学学报（自然科学版）》2015年第6期354-358,364,共6页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：海南省自然科学基金项目(112007;112006;20156239);海口经济学院校级基金项目(hjky15-05;hjky15-01)

摘　　要：针对一类非线性时变时滞互联系统,研究其保性能控制问题。采用Takagi-Sugeno(T-S)模型对非线性互联系统进行建模,利用分散化并行分布补偿算法(DPDC)设计模糊分散控制器,在此基础上根据李雅普诺夫稳定性理论,自由加权矩阵,牛顿-莱布尼兹公式及线性矩阵不等式(LMIs)方法,给出了非线性时滞互联系统保性能控制律存在的充分条件及性能上界。通过数值仿真进一步验证所提方法的有效性。The problem of guaranteed cost control is studied for nonlinear interconnected systems with time-delays. The T-S fuzzy model is adopted for modeling the nonlinear interconnected systems with time-delays. The scheme of decentralized DPDC （decentralized parallel distributed compensation） fuzzy control is used to design fuzzy decentralized controllers. According to Lyapunov stability theory, flee weighting matrix method, Newton-Leibniz formula and linear matrix inequalities, the fuzzy guaranteed cost controller which minimizes the guaranteed cost of the closed-loop systems is given. A numerical example is given to show the effectiveness of the proposed methods.

关 键 词：互联系统 时滞 保性能控制 T-S模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]