Sliding mode control to stabilization of coupled time fractional parabolic PDEs subject to disturbances

IF 2.2 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IET Control Theory and Applications Pub Date : 2024-10-02 DOI:10.1049/cth2.12743

Jiake Sun, Junmin Wang, Hanwen Zhang

引用次数: 0

Abstract

In this article, the stabilization of coupled time fractional parabolic partial differential equations subject to external disturbances is investigated. By using sliding mode control method and backstepping approach, a boundary state feedback controller is designed to reject the matched disturbance and achieve the Mittag-Leffler input-to-state stability of closed-loop system. The existence of the generalized solution to the closed-loop system is proven by Galerkin approximation scheme. Simulations are presented to illustrate the validity of our theoretical results.

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滑模控制以稳定受干扰的耦合时间分数抛物 PDEs

本文研究了受外部扰动影响的耦合时分数抛物线偏微分方程的稳定问题。通过使用滑模控制方法和反步法，设计了一个边界状态反馈控制器来拒绝匹配干扰并实现闭环系统的 Mittag-Leffler 输入到状态稳定性。通过 Galerkin 近似方案证明了闭环系统广义解的存在性。仿真结果说明了理论结果的正确性。

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

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.