{"title":"基于命令滤波的动态不确定性互联系统自适应分散控制","authors":"Zhucheng Liu , Feisheng Yang , Heng Li","doi":"10.1016/j.cnsns.2025.108611","DOIUrl":null,"url":null,"abstract":"<div><div>This article studies the predefined-time controller construction problem for non-strict feedback nonlinear large-scale interconnected systems including unmodeled dynamics and dynamic disturbances. The uncertain nonlinearities and interconnections in the studied systems are universally approximated by neural networks. The observable dynamic signals created by the constructed auxiliary systems are utilized to alleviate the impacts of unmodeled state dynamics. Then, a neural adaptive predefined-time decentralized controller is developed via command filtered backstepping technology. The convergence time bound by the proposed control strategy is more flexible than conventional fixed-time control method. Moreover, through adding the compensation signal terms to the entire Lyapunov energy function, all variables in the controlled system are proved to be predefined-time bounded. The simulation shows the validity and superiority of the presented controller.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108611"},"PeriodicalIF":3.4000,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties\",\"authors\":\"Zhucheng Liu , Feisheng Yang , Heng Li\",\"doi\":\"10.1016/j.cnsns.2025.108611\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This article studies the predefined-time controller construction problem for non-strict feedback nonlinear large-scale interconnected systems including unmodeled dynamics and dynamic disturbances. The uncertain nonlinearities and interconnections in the studied systems are universally approximated by neural networks. The observable dynamic signals created by the constructed auxiliary systems are utilized to alleviate the impacts of unmodeled state dynamics. Then, a neural adaptive predefined-time decentralized controller is developed via command filtered backstepping technology. The convergence time bound by the proposed control strategy is more flexible than conventional fixed-time control method. Moreover, through adding the compensation signal terms to the entire Lyapunov energy function, all variables in the controlled system are proved to be predefined-time bounded. The simulation shows the validity and superiority of the presented controller.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":\"143 \",\"pages\":\"Article 108611\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-01-15\",\"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/S100757042500022X\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S100757042500022X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Command-filter based predefined-time neural adaptive decentralized control for interconnected systems with dynamic uncertainties
This article studies the predefined-time controller construction problem for non-strict feedback nonlinear large-scale interconnected systems including unmodeled dynamics and dynamic disturbances. The uncertain nonlinearities and interconnections in the studied systems are universally approximated by neural networks. The observable dynamic signals created by the constructed auxiliary systems are utilized to alleviate the impacts of unmodeled state dynamics. Then, a neural adaptive predefined-time decentralized controller is developed via command filtered backstepping technology. The convergence time bound by the proposed control strategy is more flexible than conventional fixed-time control method. Moreover, through adding the compensation signal terms to the entire Lyapunov energy function, all variables in the controlled system are proved to be predefined-time bounded. The simulation shows the validity and superiority of the presented controller.
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.