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针对一类带有输出时滞的单输入单输出双率采样系统,提出一种鲁棒迭代学习控制算法.首先,利用提升技术将带有输出时滞的双率采样系统转化为无时滞形式的慢速率采样的状态空间模型,并基于二维(2D)系统理论,将迭代学习控制过程转化为等价2D模型;然后利用线性矩阵不等式(LMI)技术,给出确保系统稳定的充分条件和鲁棒控制器设计方法;最后,通过3层液位贮槽系统的液位控制仿真验证所提出方法的可行性和有效性.
For a class of single-input single-output double-rate sampling system with output delay, a robust iterative learning control algorithm is proposed.Firstly, the double-rate sampling system with output delay is transformed into a non-time-lapse , Then based on the two-dimensional (2D) system theory, the iterative learning control process is transformed into the equivalent 2D model. Then, the sufficient conditions for ensuring the system stability are given by means of the linear matrix inequality (LMI) And robust controller design method. Finally, the feasibility and effectiveness of the proposed method are verified through the simulation of liquid level control in a 3-level tank system.