Observer-based control for nonlinear Hadamard fractional-order systems via SOS approach

IF 2.7 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Asian Journal of Control Pub Date : 2024-10-01 DOI:10.1002/asjc.3497
Hamdi Gassara, Omar Naifar, Mohamed Chaabane, Abdellatif Ben Makhlouf, Hassen Arfaoui, Mohammed Aldandani
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引用次数: 0

Abstract

Practical stability refers to the notion that the origin is not an equilibrium point (EP) and that the system states tend to converge toward a sphere centered at the origin. The first goal of this paper is to analyze the concept of “practical stability” in Caputo–Hadamard fractional-order derivative (CHFOD) systems. Then, using the Lyapunov approach, a polynomial fuzzy (PF) observer-based controller for stabilizing CHFOD PF systems is created. The observer-based control is innovative since it was created and proven using the sum-of-squares (SOS) method. In conclusion, a numerical illustration is provided to corroborate the theoretical findings.

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实际稳定性是指原点不是平衡点(EP),系统状态趋向于向以原点为中心的球面收敛。本文的第一个目标是分析 Caputo-Hadamard 分数阶导数(CHFOD)系统中的 "实用稳定性 "概念。然后,利用 Lyapunov 方法,创建了一种基于多项式模糊 (PF) 观察器的控制器,用于稳定 CHFOD PF 系统。基于观测器的控制是一种创新,因为它是用平方和(SOS)方法创建和证明的。最后,还提供了一个数值示例来证实理论结论。
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
Asian Journal of Control
Asian Journal of Control 工程技术-自动化与控制系统
CiteScore
4.80
自引率
25.00%
发文量
253
审稿时长
7.2 months
期刊介绍: The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.
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Issue Information Issue Information Issue Information Issue Information Special issue on “The 13th Asian Control Conference”
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