反推
控制理论(社会学)
非线性系统
趋同(经济学)
上下界
数学
控制器(灌溉)
期限(时间)
李雅普诺夫函数
计算机科学
国家(计算机科学)
控制(管理)
自适应控制
算法
数学分析
物理
量子力学
人工智能
农学
经济
生物
经济增长
作者
Hua Chen,Hao Li,Kuo Li,Pengju Ning
出处
期刊:IEEE transactions on cybernetics
[Institute of Electrical and Electronics Engineers]
日期:2023-08-01
卷期号:53 (8): 5290-5298
被引量:5
标识
DOI:10.1109/tcyb.2022.3192250
摘要
This article studies the global prescribed-time stabilization problem for a class of time-delay nonlinear systems with uncertain parameters. First, we design two time-varying gains with special properties, in which one is introduced into virtual controllers to achieve prescribed-time convergence and the other one is used to construct the Lyapunov窶適rasovskii (L-K) functional and Lyapunov function to handle the nonlinear time-delay term and unknown parameters, respectively. Then, by utilizing double time-varying gains and the scaling-free backstepping design approach, a dynamic state feedback controller is constructed, which guarantees that all state variables reach zero within a prescribed time, and the prescribed time can be specified in advance. Then, based on new functionals and regular differential inequality, we figure out the explicit expression for the upper bound of all variables, which plays an important role in proving the boundedness of all system variables. Final, a simulation example is given to demonstrate the effectiveness of the proposed method.
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