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基于模糊模型的非线性系统伺服与模型跟随控制

Fuzzy model-based servo and model following control for nonlinear systems.

作者信息

Ohtake Hiroshi, Tanaka Kazuo, Wang Hua O

机构信息

Department of Mechanical Engineering and Intelligent Systems, The University of Electro-Communications, Tokyo, Japan.

出版信息

IEEE Trans Syst Man Cybern B Cybern. 2009 Dec;39(6):1634-9. doi: 10.1109/TSMCB.2009.2025138. Epub 2009 Aug 4.

Abstract

This correspondence presents servo and nonlinear model following controls for a class of nonlinear systems using the Takagi-Sugeno fuzzy model-based control approach. First, the construction method of the augmented fuzzy system for continuous-time nonlinear systems is proposed by differentiating the original nonlinear system. Second, the dynamic fuzzy servo controller and the dynamic fuzzy model following controller, which can make outputs of the nonlinear system converge to target points and to outputs of the reference system, respectively, are introduced. Finally, the servo and model following controller design conditions are given in terms of linear matrix inequalities. Design examples illustrate the utility of this approach.

摘要

本文通过基于Takagi-Sugeno模糊模型的控制方法,给出了一类非线性系统的伺服和非线性模型跟踪控制。首先,通过对原非线性系统求导,提出了连续时间非线性系统增广模糊系统的构建方法。其次,引入了动态模糊伺服控制器和动态模糊模型跟踪控制器,它们可分别使非线性系统的输出收敛到目标点和参考系统的输出。最后,根据线性矩阵不等式给出了伺服和模型跟踪控制器的设计条件。设计实例说明了该方法的有效性。

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