{"title":"Adaptive fuzzy command filtered control for asymmetric dynamic constrained nonlinear systems","authors":"Fan Yang, Meng Li, Yong Chen, Zhangyong Chen","doi":"10.1016/j.cnsns.2024.108513","DOIUrl":null,"url":null,"abstract":"In this paper, the issue of tracking control for nonlinear systems under external disturbances and asymmetric states-time-related full-state constraints imposed dynamically is studied. An adaptive fuzzy command filtered control method is developed. Firstly, the nonlinear nonstrict feedback system subjected to unknown disturbances and dynamic full-state constraints is modeled. Then, a fuzzy state observer is framed in order to estimate the unmeasured states accurately. Thirdly, a log-type nonlinear mapping barrier function is presented to map the original system under dynamic constraints to a new affine system without constraints. Furthermore, a command filter based and fuzzy observer based adaptive fuzzy tracking control scheme is designed to guarantee the boundedness of all signals in the closed-loop system. Eventually, two numerical simulations illustrate the effectiveness of the algorithm.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"65 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2024-12-08","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://doi.org/10.1016/j.cnsns.2024.108513","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the issue of tracking control for nonlinear systems under external disturbances and asymmetric states-time-related full-state constraints imposed dynamically is studied. An adaptive fuzzy command filtered control method is developed. Firstly, the nonlinear nonstrict feedback system subjected to unknown disturbances and dynamic full-state constraints is modeled. Then, a fuzzy state observer is framed in order to estimate the unmeasured states accurately. Thirdly, a log-type nonlinear mapping barrier function is presented to map the original system under dynamic constraints to a new affine system without constraints. Furthermore, a command filter based and fuzzy observer based adaptive fuzzy tracking control scheme is designed to guarantee the boundedness of all signals in the closed-loop system. Eventually, two numerical simulations illustrate the effectiveness of the algorithm.
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.