控制理论与应用2013，Vol.30Issue(1)：123-130,8.DOI:10.7641/CTA.2013.20179
时滞离散系统的非线性准滑模鲁棒控制
Nonlinear quasi-sliding-mode robust control for discrete-time systems with time-delay
摘要
Abstract
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. Firefly, 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.关键词
非线性准滑模面/准滑模变结构控制/离散时间系统/时滞/线性矩阵不等式Key words
nonlinear quasi-sliding surface/ quasi-sliding mode VSC/ discrete-time systems/ time-delay/ linear matrix inequality (LMI)分类
信息技术与安全科学引用本文复制引用
高存臣,刘振,任启峰..时滞离散系统的非线性准滑模鲁棒控制[J].控制理论与应用,2013,30(1):123-130,8.基金项目
国家自然科学基金资助项目(60974025). （60974025）
