{"title":"Adaptive decentralized control for second-order large-scale nonlinear systems via fully actuated system approach","authors":"Yifan Wang, Wei Sun","doi":"10.1016/j.cnsns.2025.108616","DOIUrl":null,"url":null,"abstract":"<div><div>This study focuses on an adaptive decentralized control problem for second-order large-scale interconnected nonlinear systems with uncertainties. The proposed control method is the first study of second-order large-scale systems using fully actuated system approach, considering that most real physical systems are second-order, whereas the existing literature on large-scale systems primarily considers first-order systems. By integrating the fully actuated system approach, decentralized control and adaptive technology, a novel controller is devised to ensure that the signals of the closed-loop system remain semiglobally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of zero. Finally, a numerical simulation example is presented to validate the effectiveness of the proposed control method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108616"},"PeriodicalIF":3.8000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425000279","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/21 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This study focuses on an adaptive decentralized control problem for second-order large-scale interconnected nonlinear systems with uncertainties. The proposed control method is the first study of second-order large-scale systems using fully actuated system approach, considering that most real physical systems are second-order, whereas the existing literature on large-scale systems primarily considers first-order systems. By integrating the fully actuated system approach, decentralized control and adaptive technology, a novel controller is devised to ensure that the signals of the closed-loop system remain semiglobally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of zero. Finally, a numerical simulation example is presented to validate the effectiveness of the proposed control method.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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