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

页码：14 / 26

页数：13

共 50 条

[21] FINITE-TIME STABILIZATION AND H∞ CONTROL OF NONLINEAR DELAY SYSTEMS VIA OUTPUT FEEDBACK
Trang, Ta T. H.
Phat, Vu N.
Samir, Adly
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (01) : 303 - 315
[22] Finite-time stabilization of nonlinear dynamical systems via control vector Lyapunov functions
Nersesov, Sergey G.
Haddad, Wassim M.
Hui, Qing
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (07): : 819 - 837
[23] Finite-time stabilization of nonlinear dynamical systems via control vector lyapunov functions
Nersesov, Sergey G.
Haddad, Wassim M.
Hui, Qing
2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 2397 - +
[24] Finite-Time Stabilization of a Class of Cascade Nonlinear Switched Systems with Time Delay
Su, Qingyu
Jia, Xiaolong
Li, Jian
Tang, Zhenhao
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2252 - 2256
[25] FINITE-TIME STABILITY AND STABILIZATION OF A CLASS OF NONLINEAR TIME-DELAY SYSTEMS
Yang, Renming
Wang, Yuzhen
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (05) : 3113 - 3131
[26] Finite-time Stabilization for a Class of Fractional-Delay Nonlinear Systems
Yang Renming
Wang Yuzhen
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 640 - 645
[27] Finite-time stabilization for a class of nonlinear systems with time-varying delay
Wang, Xuhuan
Huang, Shipei
Zou, Wencheng
Xiang, Zhengrong
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (08) : 3164 - 3178
[28] Global Finite-time Stabilization via Output-feedback for a Class of Stochastic Nonlinear Systems
Wang Huan
Li Jian-Chao
Liu Shu-Jun
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1559 - 1564
[29] Non-smooth finite-time stabilization for a class of nonlinear systems
Hong, YG
Wang, JK
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (01): : 80 - 89
[30] Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback
Zhang, Heng-Jun
Wang, Chao-Li
Chen, Hua
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (03): : 355 - 359

← 1 2 3 4 5 →