Finite-time optimization for a class of constrained nonlinear systems

被引：1

作者：

Chunyu D.-D. ^{[1
]}

Su B.-L. ^{[1
]}

Sun Z.-Y. ^{[1
]}

机构：

[1] College of Engineering, Qufu Normal University, Rizhao, 276826, Shandong

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2019年 / 36卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Finite time control; Lyapunov function; Nonlinear systems; Optimization control;

D O I：

10.7641/CTA.2018.70851

中图分类号：

学科分类号：

摘要：

The optimization control method can consider the performance of the system and save energy, but it can't give the description of the initial stability region. An optimization control method that can give the description of the initial stability region is presented in this paper to stabilize a class of switched nonlinear systems with constrains in finite time. First, finite-time optimization controller is designed to pull system's states to enter the initial stability region in finite time, at the same time, objective function is optimized, the system can achieve the best performance and the lowest energy consumption. 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. Final, the simulation example is used to verify the effectiveness of the proposed algorithm. © 2019, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.

引用

页码：753 / 758

页数：5

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