一类具有连续分布时滞的抛物型系统的无记忆滑模控制器设计

Memoryless Sliding Mode Controller Design for a Class of Parabolic Type Systems with Continuously Distributed Delays

摘要: 研究了一类具有连续分布时滞的抛物型系统的滑模控制问题．首先，通过构造辅助函数与使用矩阵范数不等式设计了无记忆功能的滑模控制器；其次，给出了滑模运动方程指数渐近稳定的充分条件；最后给出了从任意初始位置出发的轨线到达滑动模态区的时间估计．仿真结果说明了本文方法的有效性．

Abstract: The problem of sliding mode control is investigated for a class of parabolic type systems with continuously distributed delays.Firstly,by constructing auxiliary function and using matrix norm inequalities,a memoryless sliding mode controller is designed.Secondly,a sufficient condition of exponentially asymptotical stablility for the sliding mode dynamic equations is derived.Furthermore,the track time estimation from any initial state to sliding-model area is obtained.Simulation results demonstrate the effecteness of the proposed method.