Linear quadratic regulation for systems with time-varying delay

被引：5
|
作者：
Zhang, Huanshui [1 ]
Xie, Lihua [2 ]
Wang, Wei [3 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore
[3] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 03期
关键词：
discrete-time systems; linear quadratic regulation; time-varying delay; smoothing estimation; Riccati difference equation; H-INFINITY CONTROL; MULTIPLE I/O DELAYS; COMMUNICATION; PREVIEW; STATE;
D O I：
10.1002/rnc.1427
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we study the linear quadratic regulation (LQR) problem for discrete-time systems with time-varying delay in the control input channel. We assume that the time-varying delay is of a known upper bound, then the LQR problem is transformed into the optimal control problem for systems with multiple input channels, each of which has single constant delay. The optimal controller is derived by establishing a duality between the LQR and a smoothing estimation for an associated system with a multiple delayed measurement. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：285 / 300
页数：16
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