一类线性参数变化时滞系统的鲁棒滑模控制

研究了一类线性参数变化连续时间系统的稳定性、状态反馈镇定和滑模控制问题.通过引入适当加权矩阵变量寻找Le ibn iz-Newton公式各项之间的关系,从而直接地处理系统中的时滞状态项,避免了常规应用Le ibn iz-Newton公式进行模型变换的间接方法所带来的较大保守性.基于参数线性矩阵不等式方法提出了该类系统参数二次稳定的时滞相关的新条件.基于该条件研究了该类系统的状态反馈镇定和滑模控制问题.分别提出了镇定控制器设计条件和滑动模态存在条件,并设计了滑模控制器,保证了闭环系统的参数二次稳定.仿真实例证明了该设计方案的可行性.

Sliding mode control for a class of linear parameter-varying time-delayed systems

This paper is concerned with the problems of stability analysis,state feedback stabilization and robust sliding mode control for a class of continuous-time state-delayed linear parameter-varying(LPV) systems.By introducing some free weighting matrix variables,and finding the relationship between the terms in the Leibniz-Newton formula,some new delay-dependent stability criteria are derived in terms of parameterized linear matrix inequalities.In contrast to the traditional method of model transformation using the Leibniz-Newton formula,the conservatism of these new stability conditions are less.Based on these new stability conditions,the state feedback stabilization and sliding mode control problems,the design condition of feedback stabilization and the existence of sliding mode are proposed,respectively.A sliding mode controller is also designed,which guarantees the asymptotic stability of the closed-loop system.Numerical examples are given to illustrate the effectiveness of the proposed methods.