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Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model
引用本文:Shuwei CHEN. Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model[J]. 控制理论与应用(英文版), 2005, 3(4): 399-403. DOI: 10.1007/s11768-005-0031-4
作者姓名:Shuwei CHEN
作者单位:Department of Mathematics, Southwest Jiaotong Univenity, Chengdu Sichuan 610031, China
基金项目:This work was partly supported by National Natural Science Foundation of China (No. 60474022).
摘    要:1IntroductionNonlinear singularly perturbed systems arise in a widevariety of engineering applications,representative examplesinclude catalytic continuous stirred_tank reactors[1],biochemical reactors[2],fluidized catalytic crackers[3],flexible mechanical systems[4],electromechanical networks[5],etc.For such systems,the output regulation problem,i.e.the problem of having the output tracking reference(or rejecting disturbance)signals produced by someexternal generator,is ofimportance.In linear …

关 键 词:非线性系统 输出标准 模糊控制 奇异系统 状态反馈
收稿时间:2005-03-07
修稿时间:2005-11-02

Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model
Shuwei CHEN. Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model[J]. Journal of Control Theory and Applications, 2005, 3(4): 399-403. DOI: 10.1007/s11768-005-0031-4
Authors:Shuwei CHEN
Affiliation:Department of Mathematics, Southwest Jiaotong University, Chengdu Sichuan 610031, China
Abstract:Based on the T-S model, the output regulation of nonlinear singularly perturbed systems via state feedback is discussed. It is shown that, under standard assumptions, this problean is solvable if and only if certain linear matrix equations are solvable. Once these equations are solvable, the state feedback regulator can easily be constructed.
Keywords:Nonlinear systems   Output regulation   Singular perturbations   Takagi-Sugeno fuzzy model
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