由Roesser模型描述的2D离散系统预见跟踪控制  

Preview tracking control for 2D discrete-time system described by Roesser model

作　　者：范蓉 王为群[1] 姚娟[2] Fan Rong;Wang Weiqun;Yao Juan(School of Science,Nanjing University of Science and Technology,Nanjing 210094,China;School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学理学院,江苏南京210094 [2]南京理工大学自动化学院,江苏南京210094

出　　处：《南京理工大学学报》2019年第2期209-216,共8页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(61603188)

摘　　要：为了提高2D系统的跟踪水平和响应速度,将参考信号的可预见信息引入到2D系统中,考虑由Roesser模型描述的2D离散系统的预见跟踪控制问题。采用在状态与稳态值间取差分的方式构造了增广误差系统,基于线性矩阵不等式(Linear matrix inequity,LMI)方法给出了增广误差系统在状态反馈下渐近稳定的充分条件,并提出了具有跟踪性能的预见控制器的设计方案,从而实现了2D系统的跟踪目的。数值算例说明,增加预见信息可显著提高由Roesser模型刻画的2D系统的跟踪性能。In order to improve the tracking level and respond speed of 2D systems,the future information on the reference signal is first introduced into 2D systems to deal with the preview tracking control problem for the discrete 2D Roesser model. Firstly,the augmented error system is constructed by using the difference between the state and steady state value. Then the sufficient asymptotic stability condition for the augmented error system via state feedback is derived by applying the linear matrix inequity(LMI)technique,and the preview controller design is given to realize the tracking purpose of 2D systems. The numerical simulation shows that the increase of previewable future information can significantly improve the tracking performance of the 2D discrete-time system described by the Roesser model.

关 键 词：预见跟踪控制 增广误差系统 状态反馈 线性矩阵不等式 

分 类 号：TP202[自动化与计算机技术—检测技术与自动化装置]