| 引用本文: | 淳于丹丹,苏佰丽,孙宗耀.一类受约束非线性系统的有限时间优化镇定[J].控制理论与应用,2019,36(5):753~758.[点击复制] |
| ChUNYU Dan-Dan,SU Bai-Li,SUN Zong-Yao.Finite-time optimization for a class of constrained nonlinear systems[J].Control Theory and Technology,2019,36(5):753~758.[点击复制] |
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| 一类受约束非线性系统的有限时间优化镇定 |
| Finite-time optimization for a class of constrained nonlinear systems |
| 摘要点击 2329 全文点击 1185 投稿时间：2017-11-20 修订日期：2018-06-04 |
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| DOI编号 10.7641/CTA.2018.70851 |
| 2019,36(5):753-758 |
| 中文关键词 非线性系统 Lyapunov函数 优化控制 有限时间稳定 |
| 英文关键词 Nonlinear systems Lyapunov function optimization control finite time stability |
| 基金项目 国家自然科学基金 |
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| 中文摘要 |
| 研究了一类状态和控制均受约束的非线性系统的有限时间镇定问题. 设计有限时间优化控制器使得系统的状态在有限时间内进入预先设定的区域, 进而设计有限时间鲁棒镇定控制器使得系统的状态在有限时间内收敛到原点. Lyapunov函数分析给出吸引域的估计, 并确保在不同状态下, 设计的控制器使得闭环系统有限时间稳定. 仿真算例验证算法的有效性. |
| 英文摘要 |
| This paper studies the finite-time stability problem of a class of nonlinear systems with state constraints and control constrains. Finite-time optimization controller is designed to pull system’s states to enter a given area in finite time, then finite-time robust stabilizing controller ensures that the system’s states converge to the origin in finite time. The estimation of the region of attraction can be prescribed by Lyapunov function method, and the controllers can stabilize the closed-loop system according to the different states in finite time. Simulation example is used to verify the effectiveness of the proposed algorithm. |