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非线性时变时延系统的模糊采样最优控制
引用本文:曲子芳,杜贞斌.非线性时变时延系统的模糊采样最优控制[J].控制与决策,2018,33(11):2069-2072.
作者姓名:曲子芳  杜贞斌
作者单位:山东工商学院数学与信息科学学院,山东烟台264005,烟台大学计算机与控制工程学院,山东烟台264005
基金项目:山东省自然科学基金项目(ZR2017MF019,2016GGX109004,ZR2014FL023).
摘    要:针对非线性时变时延系统,采用输入时延和自由权重矩阵方法研究模糊采样最优控制问题.应用T-S模糊系统表征非线性系统,控制器是零阶保持采样信号.由线性矩阵不等式给出最优控制准则,所设计的模糊采样控制器在闭环系统渐近稳定意义下可保证期望最优控制性能.最后,通过卡车拖车系统实验验证模糊采样控制设计方案的可行性.

关 键 词:T-S模糊系统  采样控制  时变时延  最优控制

Fuzzy sampled-data optimal control for nonlinear systems with time- varying delay
QU Zi-fang and DU Zhen-bin.Fuzzy sampled-data optimal control for nonlinear systems with time- varying delay[J].Control and Decision,2018,33(11):2069-2072.
Authors:QU Zi-fang and DU Zhen-bin
Affiliation:College of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005,China and School of Computer Science and Control Engineering, Yantai University, Yantai 264005,China
Abstract:This paper is concerned with a fuzzy sampled-data optimal control problem of nonlinear systems with time-varying delay by employing the input delay and free-weighting matrix approach.The Takagi-Sugeno(T-S) fuzzy system is used to represent the nonlinear systems, and the control input is a zero-order hold sampled-data signal.A linear matrix inequalities(LMIs)-based optimal control criterion is obtained, and a fuzzy sampled-data controller is designed for the system, which ensures that the optimal performance is achieved in the sense that the closed-loop system is asymptotically stable.A computer simulated truck-trailer system is given to illustrate the effectiveness of the fuzzy sampled-data control design.
Keywords:
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