Distributed semistable LQR control for discrete-time dynamically coupled systems

被引：15
|
作者：
Hui, Qing [1 ]
机构：
[1] Texas Tech Univ, Dept Mech Engn, Lubbock, TX 79409 USA
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 01期
关键词：
DEPENDENT COMMUNICATION LINKS; NETWORK CONSENSUS; SWITCHING TOPOLOGY; ALGORITHMS; STABILITY; AGENTS;
D O I：
10.1016/j.jfranklin.2011.10.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A distributed linear-quadratic-regulator (LQR) semistability theory for discrete-time systems is developed for designing optimal semistable controllers for discrete-time coupled systems. Unlike the standard LQR control problem, a unique feature of the proposed optimal control problem is that the closed-loop generalized discrete-time semistable Lyapunov equation can admit multiple solutions. Necessary and sufficient conditions for the existence of solutions to the generalized discrete-time semistable Lyapunov equation are derived and an optimization-based design framework for distributed optimal controllers is presented. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：74 / 92
页数：19
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