区间二型模糊系统的自适应事件触发H∞控制
Adaptive Event-Triggered H∞ Control for Interval Type-2 Fuzzy System
摘要: 本文研究了自适应事件触发情形下的一类具有时变时滞区间二型Takagi-Sugeno (T-S)模糊网络化系统的H∞控制问题。首先，提出了一种新颖的自适应事件触发机制。与传统的触发机制相比，该机制通过动态调整事件触发阈值来调节数据传输的数量，在保持良好的控制性能的同时改善有限的网络资源的利用效率。其次，利用构造的时滞相关的李雅普诺夫函数以及自由权矩阵，获得了闭环系统满足给定H∞性能指标的充分条件。在此基础上，借助于奇异值分解技术，给出了基于线性矩阵不等式解的控制器增益参数。最后，通过数值仿真例子验证了该方法的有效性。
Abstract: In this paper, the control H∞ problem is investigated for a class of interval type-2 Takagi Sugeno (T-S) fuzzy networked systems with time-varying delay under an adaptive event-triggering scheme. Compared with the traditional event-triggering ones, a novel adaptive event triggering mechanism proposed can effectively regulate the number of data transmissions by dynamically adjusting the event trigger threshold, which can improve the utilization efficiency of limited network resources while maintaining good control performance. Second, by using the delay-dependent Lyapunov function and the free weight matrix, a sufficient condition is obtained to guarantee the given H∞ performance index of the closed-loop systems. In light of obtained condition combined with the singular value decomposition technique, the desired controller gain parameters are obtained based on the solution of a set of linear matrix inequalities. Finally, a numerical example is given to verify the effectiveness of the proposed method.
文章引用：郭西亚, 孙雷, 吴玲玲. 区间二型模糊系统的自适应事件触发H∞控制[J]. 应用数学进展, 2021, 10(12): 4433-4445. https://doi.org/10.12677/AAM.2021.1012472

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