Finite-time stabilization for a class of nonlinear systems via optimal control

被引：14
|
作者：
Zhang, Yu [1 ]
Feng, Zhi Guo [3 ]
Yang, Xinsong [1 ,2 ]
Alsaadi, Fuad E. [4 ]
Ahmad, Bashir [5 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Minist Educ, Key Lab Optimizat & Control, Chongqing 401331, Peoples R China
[3] Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Guangdong, Peoples R China
[4] King Abdulaziz Univ, Fac Engn, Jeddah 21589, Saudi Arabia
[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2018年 / 146卷
基金：
中国国家自然科学基金;
关键词：
Finite-time stabilization; Optimal control; Control parameterization method; RECURRENT NEURAL-NETWORKS; ADAPTIVE-CONTROL; STABILITY; SYNCHRONIZATION; LMI;
D O I：
10.1016/j.matcom.2017.09.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In general, finite-time stabilization techniques can always stabilize a system if control cost is not considered. Considering the fact that control cost is a very important factor in control area, we investigate finite-time stabilization problem for a class of nonlinear systems in this paper, where the control cost can also be reduced. We formulate this problem into an optimal control problem, where the control functions are optimized such that the system can be stabilized with minimum control cost. Then, the control parameterization enhancing transform and the control parameterization method are applied to solve this problem. Two numerical examples are illustrated to show the effectiveness of the proposed method. (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：14 / 26
页数：13
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