文献类型：期刊文献

英文题名：Finite-time boundedness of uncertain Hamiltonian systems via sliding mode control approach

作者：Lv, Xinyu[1];Niu, Yugang[1];Song, Jun[1]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

年份：2021

卷号：104

期号：1

起止页码：497

外文期刊名：NONLINEAR DYNAMICS

收录：;EI(收录号：20210809968483);WOS:【SCI-EXPANDED(收录号:WOS:000619892800001)】；

基金：This work was supported in part by the NNSF (62073139, 61903143) from China.

语种：英文

外文关键词：Uncertain Hamiltonian systems; Sliding mode control; Finite-time boundedness; Genetic algorithm

摘要：This paper seeks to address the problem of finite-time stabilization for a class of uncertain Hamiltonian systems via sliding mode control approach. A novel sliding function in connection with the state and energy function of the considered system is constructed, and then, a suitable controller is designed to drive the state trajectories onto the specified sliding surface before the given finite-time. Moreover, the finite-time boundedness of the closed-loop system over both reaching phase and sliding motion phase are analyzed and the corresponding conditions are obtained. Furthermore, two optimization problems are formed to enhance the performance of finite-time boundedness, which will be solved via genetic optimization algorithm. Finally, a simulation example is provided to illustrate the proposed control strategy.