Quantized dissipative control for fuzzy hot strip mill cooling system under input constraint via dynamic output feedback approach

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-07-07 DOI:10.1016/j.amc.2025.129615

Teng-Fei Li , Liming Ding , Jun Xiong , Haibing Li

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Abstract

This article focuses on the investigation of finite-time dissipative control for hot strip mill cooling system under input constraint. Through the utilization of the Takagi-Sugeno (T-S) fuzzy model to depict the nonlinear components, the system under investigation is characterized by parabolic partial differential equations (PPDE). To enhance the efficiency of network resources, signals of the measurement output and control input are quantized through a specific dynamic quantizer scheme. Consequently, a spatial-independent output feedback dynamic controller is developed. The analysis of finite-time dissipative performance for the fuzzy system is provided, incorporating the impact of quantization through the constructed Lyapunov functional. Using predetermined parameters, conditions for the fuzzy cooling system are established to ensure the specified control performance, taking into account the constrained control inputs for the fuzzy closed-loop system. Additionally, a method involving arbitrary given matrices is employed to deal with the coupled nonlinear terms within the control design conditions. Finally, the effectiveness of the developed dissipative control strategy is demonstrated through the presentation of simulation results.

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输入约束下模糊热连轧冷却系统的动态输出反馈量化耗散控制

本文研究了输入约束下热连轧冷却系统的有限时间耗散控制问题。利用Takagi-Sugeno （T-S）模糊模型来描述非线性分量，用抛物型偏微分方程（PPDE）来表征所研究系统。为了提高网络资源的效率，测量输出和控制输入的信号通过特定的动态量化方案进行量化。因此，开发了一种与空间无关的输出反馈动态控制器。通过构造李雅普诺夫泛函，考虑量化的影响，对模糊系统的有限时间耗散性能进行了分析。在考虑模糊闭环系统控制输入约束的情况下，利用预先确定的参数，建立模糊冷却系统的控制条件，保证系统的控制性能。另外，采用了一种涉及任意给定矩阵的方法来处理控制设计条件下的耦合非线性项。最后，通过仿真结果验证了所提出的耗散控制策略的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.