基于二维系统的迭代学习事件触发鲁棒控制

Iterative learning event triggering robust control based on 2—D systems

中文关键词  二维系统  迭代学习  事件触发  鲁棒控制

英文关键词  two-dimensional system  iterative learning  event-triggering  robust control

中文摘要

      本文研究了二维系统框架下, 带有事件触发机制的不确定离散系统迭代学习鲁棒控制问题. 首先为了减少 迭代过程中控制信号的更新次数, 构建了一种沿迭代轴的事件触发机制, 并提出了基于事件触发机制的迭代学习控 制算法. 基于二维系统理论, 将迭代学习过程转化为等价二维Roesser系统. 构造李雅普诺夫函数, 结合线性矩阵不 等式(LMI)技术, 给出了系统渐近稳定的充分条件, 进一步得到了控制器增益的求取方法. 最后仿真结果验证了提 出的事件触发机制的有效性.

英文摘要

      In this paper, the iterative learning robust control problem, described by a two-dimensional (2??D) model, for uncertain discrete systems with event triggering mechanism is studied. Firstly, to reduce the update times of control signals in the iteration process, an event triggering mechanism along the iteration axis is constructed, and an iterative learning control algorithm based on the event triggering mechanism is proposed. Based on the 2??D system theory, the iterative learning process is transformed into the equivalent 2??D Roesser system. Then the Lyapunov function is constructed, combined with the linear matrix inequality (LMI) technique, the sufficient conditions for the asymptotic stability of the system are given, and the controller gain matrix is further obtained. Simulation results further verify the effectiveness of the proposed event triggering mechanism.