| 引用本文: | 刘勇华,黄良沛,肖冬明,郭勇.一类非仿射非线性时滞系统的动态状态反馈镇定[J].控制理论与应用,2016,33(7):923~928.[点击复制] |
| LIU Yong-hua,HUANG Liang-pei,XIAO Dong-ming,GUO Yong.Dynamic state feedback stabilization for a class of nonaffine nonlinear systems with unknown time delays[J].Control Theory and Technology,2016,33(7):923~928.[点击复制] |
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| 一类非仿射非线性时滞系统的动态状态反馈镇定 |
| Dynamic state feedback stabilization for a class of nonaffine nonlinear systems with unknown time delays |
| 摘要点击 2670 全文点击 1766 投稿时间：2015-08-10 修订日期：2016-02-18 |
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| DOI编号 10.7641/CTA.2016.50677 |
| 2016,33(7):923-928 |
| 中文关键词 非仿射系统 非线性系统 时滞 动态状态反馈 反推法 Lyapunov-Krosovskii泛函 |
| 英文关键词 nonaffine systems nonlinear systems time delay dynamic state feedback backstepping Lyapunov- Krosovskii functional |
| 基金项目 国家自然科学基金项目(U1433118, 51405156, 61572185), 湖南省教育厅科研项目(15C0549), 湖南科技大学博士科研启动基金项目(E51515)资助. |
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| 中文摘要 |
| 本文讨论了一类非仿射非线性时滞系统的全局镇定问题. 通过引入辅助积分系统和构造合适的Lyapunov-
Krosovskii泛函, 提出了一种基于反推法的时滞无关动态状态反馈控制器, 所提控制方法无需时滞的任何先验知识. 利
用Lyapunov稳定性理论证明了该控制策略能够保证非仿射时滞系统状态渐近收敛于原点, 且所有闭环信号全局有界.
一个仿真实例进一步验证了所得控制方案的可行性与有效性. |
| 英文摘要 |
| We discuss the problem of global stabilization for a class of nonaffine nonlinear systems with unknown time
delays. By introducing an auxiliary integrator system and constructing an appropriate Lyapunov-Krosovskii functional, a
delay-independent dynamic state feedback controller is explicitly proposed via a backstepping approach, which does not
require a priori knowledge of the time delays. Lyapunov stability theory is employed to prove that the states of the nonaffine
time delay systems converge asymptotically to the origin and all the closed loop signals are globally bounded. A numerical
example is further provided to illustrate the feasibility and effectiveness of the proposed control scheme. |