A New Finite-Time Stabilizing Design for a Class of High-Order Uncertain Nonlinear Systems and Its Application in Maglev Systems

作     者：Yu, Le-Yuan Sun, Zong-Yao Meng, Qinghua Chen, Chih-Chiang 

作者机构：Jining University College of Mathematics and Computer Applied Technology Qufu273155 China Institute of Automation Qufu Normal University Qufu273165 China Hangzhou Dianzi University School of Mechanical Engineering Hangzhou310018 China National Cheng Kung University Department of Systems and Naval Mechatronic Engineering Tainan70101 Taiwan 

出 版 物：《IEEE Transactions on Systems, Man, and Cybernetics: Systems》 (IEEE Trans. Syst. Man Cybern. Syst.)

年 卷 期：2023年第53卷第1期

页      面：417-424页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0701[理学-数学] 0702[理学-物理学] 

基　　金：This work was supported in part by the National Natural Science Foundation of China under Grant 62173208 and Grant 61773237 in part by the Taishan Scholar Project of Shandong Province of China under Grant tsqn202103061 

主　　题：Lyapunov methods 

摘      要：In this article, the problem of global fixed-time stabilization for a class of high-order uncertain nonlinear systems has been investigated. Quite different from traditional methods, a novel finite-time control scheme is presented for the first time based on a serial of exponential functions and fractional power integration with nested sign functions, which can guarantee that the convergent time of the states of the closed-loop systems is finite and independent of any initial conditions by the simple choice of design parameters. The remarkable contribution of this article lies in the fact that it provides an alternative to manipulate the possibility of initial states being far from the origin. As a practical application, the finite-time stabilizing design of maglev systems is provided to demonstrate the effectiveness and the superiority of the proposed strategy. © 2013 IEEE.