文献类型：期刊文献

英文题名：Robust finite-time H∞ control for one-sided Lipschitz nonlinear systems via state feedback and output feedback

作者：Song, Jun[1,2];He, Shuping[1]

机构：[1]Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China;[2]E China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

年份：2015

卷号：352

期号：8

起止页码：3250

外文期刊名：JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

收录：;EI(收录号：20150700516649);WOS:【SCI-EXPANDED(收录号:WOS:000359326300016)】；

基金：This work was supported in part by the National Natural Science Foundation of PR China (Grant no. 61203051), the Joint Specialized Research Fund for the Doctoral Program of Higher Education (Grant no. 20123401120010), and the Key Program of Natural Science Foundation of Education Department of Anhui Province (Grant no. KJ2012A014). The authors would like to acknowledge the helpful comments and suggestions of the associate editor and anonymous reviewers, which have greatly improved the presentation.

语种：英文

外文关键词：Nonlinear control systems - Feedback control - Numerical methods - Linear matrix inequalities - Closed loop systems - Continuous time systems - Controllers

摘要：Robust finite-time Ho control of a class of continuous-time nonlinear system with parameter uncertainties and disturbance input is discussed in this note. The nonlinear function is considered to satisfy the one-sided Lipschitz condition, which has less conservative than the well-known global Lipschitz nonlinear condition. By means of linear matrix inequality (LMI) techniques, both design algorithms of state-feedback controller and static output-feedback controller are developed. The designed controllers are proved to guarantee the corresponding closed-loop systems that are finite-time boundedness (FTB) with a desired H infinity performance index. And the best scalars selection criterion is used to determine the finite-time scalars such that the LMI-based conditions with the best feasibility in the global field. Finally, a numerical example is included to verify the efficiency of the proposed methods. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.