TY - JOUR
T1 - A New Finite-Time Stabilizing Design for a Class of High-Order Uncertain Nonlinear Systems and Its Application in Maglev Systems
AU - Yu, Le Yuan
AU - Sun, Zong Yao
AU - Meng, Qinghua
AU - Chen, Chih Chiang
N1 - Funding Information:
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
Publisher Copyright:
© 2013 IEEE.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - 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.
AB - 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.
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U2 - 10.1109/TSMC.2022.3182395
DO - 10.1109/TSMC.2022.3182395
M3 - Article
AN - SCOPUS:85133756106
SN - 2168-2216
VL - 53
SP - 417
EP - 424
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 1
ER -