受执行器饱和影响的离散时间 T-S 模糊系统的数据驱动事件触发控制

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2024-11-23 DOI:10.1016/j.fss.2024.109204

Zhen Wang , Yanbo Chen , Yanyan Ni , Xia Huang , Hao Shen

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引用次数: 0

摘要

本文主要研究一类离散时间高木-菅野（Takagi-Sugeno，T-S）模糊系统在执行器饱和情况下的数据驱动事件触发控制。基于所提出的事件触发机制（ETM）和离散时间 Lyapunov 稳定性理论，首先推导出已知 T-S 模糊系统的基于模型的稳定性准则。随后，利用从各局部子系统收集到的输入状态数据，建立了未知 T-S 模糊系统的基于数据的系统表示，并以线性矩阵不等式（LMI）的形式得到了纯基于数据的稳定性准则，以保证未知系统矩阵的 T-S 模糊系统局部稳定。同时，完成了数据驱动模糊控制器和 ETM 的联合设计算法。与其他数据驱动控制方法相比，所提出的方法对于某些稳定性结果满足一定 LMI 形式的控制问题具有简单灵活的优点。最后，通过一个数值实例验证了基于模型和基于数据的结果的有效性，并通过估计吸引盆地（BoA）的内近似值和吸引子的外近似值，研究了一些关键因素（如样本数和噪声）对控制性能的影响。

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Data-driven event-triggered control for discrete-time T-S fuzzy systems subject to actuator saturation

This paper is concerned with data-driven event-triggered control for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems subject to actuator saturation. Based on the proposed event-triggered mechanism (ETM) and the discrete-time Lyapunov stability theory, a model-based stability criterion for the known T-S fuzzy system is derived first. Subsequently, by leveraging the input-state data collected from each local subsystem, a data-based system representation of unknown T-S fuzzy system is established and a pure data-based stability criterion in the form of linear matrix inequalities (LMIs) is obtained to guarantee that the T-S fuzzy system with unknown system matrices is locally stabilized. Meanwhile, a joint design algorithm for the data-driven fuzzy controllers and the ETM is accomplished. Compared with the other data-driven control methods, the proposed method has the advantages of simplicity and flexibility for some control problems whose stability results satisfy a certain LMI form. At last, the effectiveness of the model-based and data-based results is verified through a numerical example, and the influence of some key factors, such as the number of samples and the noise on control performance is investigated by estimating the inner-approximation of the basin of attraction (BoA) and the outer-approximation of the attractor.

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.