Preview Repetitive Control for Linear Continuous-time System

被引：6
|
作者：
Li, Li [1 ,2 ]
Meng, Xiaohua [1 ,2 ]
Liao, Yonglong [3 ]
机构：
[1] Hubei Univ Econ, Sch Informat Management & Stat, Wuhan 430205, Peoples R China
[2] Hubei Univ Econ, Hubei Ctr Date & Anal, Wuhan 430205, Peoples R China
[3] Zhiyuan Coll, Beijing Inst Petrochem Technol, Beijing 102617, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2023年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Continuous-time system; output feedback; preview repetitive control; repetitive control; state feedback; 2D systems; DESIGN; SERVOMECHANISM; STATE;
D O I：
10.1007/s12555-021-0807-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a preview repetitive control for linear continuous-time systems when a periodic reference signal is previewed. First, an augmented two-dimensional (2D) system is constructed by state augmentation technique and a 2D model approach. Then, the preview repetitive control laws are proposed for the augmented 2D system, which transforms the preview repetitive control problem into a stabilization problem. Using Lyapunov functions, sufficient conditions for asymptotic stability of the 2D continuous-discrete system are derived in the form of linear matrix inequalities (LMIs). The design of a preview repetitive controller is proposed through the LMI approach. Finally, the developed design techniques are applied to two examples. The simulation results demonstrate the validity of the proposed method.
引用
收藏
页码：508 / 518
页数：11
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