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一类不确定非线性系统的停息时间可调的有限时间镇定
引用本文:常霞,刘允刚.一类不确定非线性系统的停息时间可调的有限时间镇定[J].控制理论与应用,2009,26(4):358-364.
作者姓名:常霞  刘允刚
作者单位:山东大学,控制科学与工程学院,山东,济南,250061
基金项目:国家自然科学基金资助项目(60674036); 山东省科技发展计划资助项目(2004GG4204014); 教育部新世纪人才支持计划资助项目(NCET-07-0513); 山东省优秀中青年科学家科研奖励基金资助项目(2007BS01010); 教育部科学技术重点资助项目(108079).
摘    要:研究了一类带有零动态不确定非线性系统有限时间镇定问题, 给出了具有更强实用性的停息时间可调的有限时间稳定控制设计方法. 基于有限时间稳定的Lyapunov理论和反推技术, 给出了停息时间可调有限时间稳定控制器的设计步骤. 所设计的状态反馈控制器使得闭环系统全局有限时间稳定, 且停息时间可调整, 特别是当系统初始值已知时, 停息时间可以任意调节. 仿真例子验证了本文的主要结论.

关 键 词:不确定非线性系统  零动态  有限时间镇定  可调停息时间  反推方法
收稿时间:2/13/2008 4:21:28 PM
修稿时间:8/23/2008 3:14:57 PM

Adjustable-Settling-Time Finite-Time Stabilization of A Class of Uncertain Nonlinear Systems
CHANG Xia and LIU Yun-gang.Adjustable-Settling-Time Finite-Time Stabilization of A Class of Uncertain Nonlinear Systems[J].Control Theory & Applications,2009,26(4):358-364.
Authors:CHANG Xia and LIU Yun-gang
Affiliation:School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China;School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China
Abstract:The finite-time stabilization is investigated for a class of zero-dynamics uncertain nonlinear systems, for which a practical adjustable settling-time controller is designed by using the Lyapunov theory of finite-time stability and the backstepping methodology. With the designed state-feedback controller, the closed-loop system is globally stable in a finite time with an adjustable settling-time. Especially, when the initial conditions are known, the settling-time can be arbitrarily adjusted. Simulation results are also given to illustrate correctness of the main results.
Keywords:uncertain nonlinear systems  zero dynamics  finite-time stabilization  adjustable-settling-time  backstepping approach
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