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

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

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.