A coalitional control scheme with applications to cooperative game theory. (12th September 2013)

• Record Type: Journal Article
• Authors: Maestre, J.M.; Muñoz de la Peña, D.; Jiménez Losada, A.; Algaba, E.; Camacho, E. F.
• Is Part Of: Optimal control applications and methods. Volume 35:Number 5(2014:Sep./Oct.)
• Page Start: 592
• Page End: 608
• Publication Date: 2013-09-12
• Subjects: Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2090
• Languages: English
• ISSNs: 0143-2087

Abstract

<abstract abstract-type="main" id="oca2090-abs-0001"> <title>SUMMARY</title> <p>In this paper, we present a control scheme in which a set of agents switches between different network topologies in order to regulate a set of unconstrained linear systems. The problems of how to decide the time‐varying communication strategy and the corresponding control strategies are addressed. A design method that guarantees closed‐loop stability for the proposed scheme is also provided. In addition, the network topology optimization problem is posed as a cooperative game, so that tools from game theory can be used to study the relevance of the different links and the agents. Finally, the proposed scheme is illustrated through a simulation example. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>