New Approach to Observer-Based Finite-Time H_(∞)Control of Discrete-Time One-Sided Lipschitz Systems with Uncertainties

作     者：Xinyue Tang Yali Dong Meng Liu 

作者机构：School of Mathematical SciencesTiangong UniversityTianjin300387China 

出 版 物：《Journal of Electronic & Information Systems》 (电子信息系统杂志（英文）)

年 卷 期：2022年第4卷第2期

页      面：1-9页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Natural Science Foun­dation of Tianjin under Grant No.18JCYBJC88000 

主　　题：Finite-time H_(∞)boundedness Discrete-time systems One-sided Lipschitz system Observer-based control 

摘      要：This paper investigates the finite-time H_(∞)control problem for a class of nonlinear discrete-time one-sided Lipschitz systems with *** the one-sided Lipschitz and quadratically inner-bounded conditions,the authors derive less conservative criterion for the controller design and observer design.A new criterion is proposed to ensure the closed-loop system is finite-time bounded(FTB).The sufficient conditions are established to ensure the closed-loop system is H_(∞)finite-time bounded(H_(∞)FTB)in terms of matrix *** controller gains and observer gains are given.A numerical example is provided to demonstrate the effectiveness of the proposed results.