Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach
Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach
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DOI：
10.1016/s0020-0255(99)00129-2
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发表时间：
2000-04
期刊：
影响因子：
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通讯作者：
Jing Li;Hua O. Wang;D. Niemann;Kazuo Tanaka
中科院分区：
文献类型：
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作者：
Jing Li;Hua O. Wang;D. Niemann;Kazuo Tanaka
本文提出了一个统一的系统框架，用于设计由 Takagi-Sugeno (T-S) 模型描述的非线性系统的动态反馈控制器。稳定性和多目标控制综合问题都已得到解决。控制律采用所谓的动态并行分布式补偿（DPDC）的形式，本质上是非线性动态反馈控制器。相关的控制综合问题被表述为线性矩阵不等式（LMI）问题，即DPDC控制器的参数是从一组LMI条件获得的。本文中的方法也可以应用于混合或交换系统。
This paper presents a unified systematic framework for designing dynamic feedback controllers for nonlinear systems described by Takagi–Sugeno (T–S) models. Both stabilization and multi-objective control synthesis problems have been addressed. The control laws are in the form of so-called dynamic parallel distributed compensation (DPDC) which are essentially nonlinear dynamic feedback controllers. The associated control synthesis problems are formulated as linear matrix inequality (LMI) problems, i.e., the parameters of the DPDC controllers are obtained from a set of LMI conditions. The approach in this paper can also be applied to hybrid or switching systems.