Decentralized Controller Design for Large Scale Switched Takagi-Sugeno Systems with H∞ Performance Specifications

J. Adv. Eng. Comput. Pub Date : 2018-06-30 DOI:10.25073/JAEC.201822.187

D. Jabri, D. Belkhiat, K. Guelton, N. Manamanni

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引用次数: 2

Abstract

This paper investigates the design of decentralized controllers for a class of large scale switched nonlinear systems under arbitrary switching laws. A global large scale switched system can be split into a set of smaller interconnected switched Takagi-Sugeno fuzzy subsystems. In this context, to stabilize the overall closed-loop system, a set of switched non-Parallel-Distributed-Compensation (non-PDC) output-feedback controllers is considered. The latter is designed based on Linear Matrix Inequalities (LMI) conditions obtained from a multiple switched non-quadratic Lyapunov-like candidate function. The controllers proposed herein are synthesized to satisfy H∞ performances for disturbance attenuation. Finally, a numerical example is proposed to illustrate the effectiveness of the suggested decentralized switched controller design approach. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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具有H∞性能规格的大型切换Takagi-Sugeno系统的分散控制器设计

研究了一类具有任意切换律的大型切换非线性系统的分散控制器设计。一个全局的大型交换系统可以被分解成一组较小的互连交换的Takagi-Sugeno模糊子系统。在这种情况下，为了稳定整个闭环系统，考虑了一组切换非并行分布补偿(non-PDC)输出反馈控制器。后者是基于线性矩阵不等式(LMI)条件设计的，该条件由多个切换的非二次类李雅普诺夫候选函数得到。本文所提出的控制器是综合满足H∞性能的干扰衰减。最后，给出了一个数值算例来说明所提出的分散切换控制器设计方法的有效性。这是一篇在知识共享署名许可(http://creativecommons.org/licenses/by/4.0/)下发布的开放获取文章，该许可允许在任何媒体上不受限制地使用、分发和复制，前提是正确引用原始作品。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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J. Adv. Eng. Comput.

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