随机模糊系统的稳定性

2006 American Control Conference Pub Date : 2006-06-14 DOI:10.1109/ACC.2006.1657405

E. Boukas, A. El-Hajjaji

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引用次数: 31

摘要

研究一类具有范数有界不确定的连续时间不确定随机模糊系统。采用一种基于模型的模糊稳定设计，利用所谓的并行分布补偿(PDC)的概念来随机稳定所考虑的系统。提出了基于lmi的状态反馈控制器的充分条件，该控制器可以对标称系统或不确定系统进行随机稳定。数值算例表明了所提结果的有效性

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On stabilizability of stochastic fuzzy systems

This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results

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2006 American Control Conference

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