Dissipativity Analysis and Synthesis for Discrete-Time T–S Fuzzy Stochastic SystemsWith Time-Varying Delay
Dissipativity Analysis and Synthesis for Discrete-Time T–S Fuzzy Stochastic SystemsWith Time-Varying Delay
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DOI：
10.1109/tfuzz.2013.2256913
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发表时间：
2014-04
影响因子：
11.9
通讯作者：
Ligang Wu;Xiaozhan Yang;H. Lam
中科院分区：
文献类型：
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作者：
Ligang Wu;Xiaozhan Yang;H. Lam
研究了具有随机扰动和时变时滞的离散Takagi-Sugeno模糊系统的耗散性分析与综合问题。首先，引入一种新的模型变换方法，将时变时滞不确定性从原系统中提取出来。因此，转换后的模型是由一个线性时不变系统和一个范数有界的不确定子系统。利用这种模型变换方法，结合Lyapunov-Krasovskii技巧，建立了耗散性的充分条件。然后，设计了一个模糊控制器，以保证闭环系统的耗散性能。最后，给出了三个算例：一个算例说明了模型变换方法的有效性，第二个算例与其它方法进行了比较，第三个算例说明了所提出的耗散控制方法的适用性。
This paper is concerned with the problems of dissipativity analysis and synthesis for discrete-time Takagi-Sugeno fuzzy systems with stochastic perturbation and time-varying delay. First, a novel model transformation method is introduced to pull the time-varying delay uncertainty out of the original system. Consequently, the transformed model is composed of a linear time-invariant system and a norm-bounded uncertain subsystem. By using this model transformation method combined with the Lyapunov-Krasovskii technique, sufficient conditions of the dissipativity are established. Then, a fuzzy controller is designed to guarantee the dissipative performance of the closed-loop system. Finally, three examples are presented: one shows the effectiveness of model transformation method, the second performs the comparison with alternative approaches, and the third illustrates the applicability of the proposed dissipative control methods.