文献类型：期刊文献

英文题名：Finite-time stabilization for a class of nonlinear systems via optimal control

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

年份：2018

卷号：146

起止页码：14

外文期刊名：MATHEMATICS AND COMPUTERS IN SIMULATION

收录：SCI-EXPANDED(收录号：WOS:000418485000002)、、EI(收录号：20174204284904)、Scopus(收录号：2-s2.0-85031431141)、WOS

基金：This work is supported by the National Natural Science Foundation of China (No. 61673078), the grant of Chongqing Science and Technology Commission (No. cstc2017jcyjAX0161), and the grant of Chongqing Normal University (No. 17XLB010). The first author is also supported by the graduate innovative research grants of Chongqing Normal University (Nos. YKC17017, YKC17018, YKC17016) and Chongqing (No. CYS17181).

语种：英文

外文关键词：Finite-time stabilization; Optimal control; Control parameterization method

外文摘要：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.