%0 Journal Article
%T Nonlinear quasi-sliding-mode robust control for discrete-time systems with time-delay<br>时滞离散时间系统的非线性准滑模鲁棒控制
%A GAO Cun-chen
%A LIU Zhen
%A REN Qi-feng
%A <br>高存臣
%A 刘振
%A 任启峰
%J 控制理论与应用
%D 2013
%I 
%X The robust sliding mode control is investigated for a class of discrete-time systems with time-varying delay, which is based on a novel nonlinear time-varying quasi-sliding surface design scheme. Firstly, the general form of the nonlinear switching function with time-varying feature is given, which can dynamically improve the quality of its motion. By using the free weighting matrix and linear matrix inequality technique, we propose a design method for the nonlinear quasi-sliding surface, and obtain a sufficient condition of asymptotical stability for the nonlinear sliding motion. Secondly, the quasi-sliding mode controller is designed based on the improved discrete reaching law to ensure the state of the system for reaching the quasi-sliding mode in a finite time. Thus, the quasi-sliding-mode variable-structure control (VSC) for such nonlinear system is extended to the nonlinear control with time-delay. Simulation validates that the dynamic behavior of the system is stable with rapid response, low overshoot, less settling time, when employing the proposed quasi-sliding surface and quasi-sliding mode VSC.
%K nonlinear quasi-sliding surface
%K quasi-sliding mode VSC
%K discrete-time systems
%K time-delay
%K linear matrix inequality (LMI)<br>非线性准滑模面
%K 准滑模变结构控制
%K 离散时间系统
%K 时滞
%K 线性矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=2DB3B6D3544EDEBD6D4885A70793FB33&yid=FF7AA908D58E97FA&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=AE09EACBCD1B2A13&eid=B47A0E731AF43EB2&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0