| 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):.[点击复制] |
| CHANG Xia,LIU Yun-gang.Adjustable-Settling-Time Finite-Time Stabilization of A Class of Uncertain Nonlinear Systems[J].Control Theory & Applications,2009,26(4):.[点击复制] |
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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 |
| Adjustable-Settling-Time Finite-Time Stabilization of A Class of Uncertain Nonlinear Systems |
| 摘要点击 2458 全文点击 928 投稿时间：2008-02-13 修订日期：2008-08-23 |
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| DOI编号 |
| 2009,26(4):- |
| 中文关键词 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. |
| 英文关键词 Uncertain nonlinear systems, zero dynamics, finite-time stabilization, adjustable-settling-time, backstepping approach. |
| 基金项目 国家自然科学基金 |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| The problem of finite-time stabilization is investigated for a class of uncertain nonlinear systems with zero dynamics, and the method is proposed to design the more applicable adjustable-settling-time finite-time stabilizing controller. Using the Lyapunov theory of finite-time stability and the backstepping methodology, the design procedure is presented for the adjustable-settling-time finite-time stabilizing controller. With the designed state-feedback controller in loop, the system is globally finite-time stable and the settling-time can be adjusted. Specially, when the initial conditions are known, the settling-time can be arbitrarily adjusted. Simulation results are given to illustrate the correctness of the main results. |
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