Title :
H∞ controller design for a multi-agent system based on a replicated control structure
Author :
Popov, A.P. ; Werner, H.
Author_Institution :
Inst. of Control Syst., Hamburg Univ. of Technol., Hamburg, Germany
fDate :
June 30 2010-July 2 2010
Abstract :
Several recent design techniques address the problem of distributed controller synthesis for multi-agent systems (MAS). However, since these methods use a decomposition based approach to reduce the complexity of the MAS, they cannot provide a guarantee of performance with the designed controller, and furthermore lead to conservative designs due to the Lyapunov shaping paradigm. This paper proposes a direct gradient-based-optimization synthesis technique for a MAS with fixed communication topology, exploiting the fact that the same controller is replicated on each agent. Although this results in a non-convex design problem, an appropriate initialization step makes the synthesis efficient and helps to obtain controllers with guaranteed performance on the MAS.
Keywords :
H∞ control; Lyapunov methods; concave programming; control system synthesis; distributed control; gradient methods; mobile robots; multi-robot systems; H∞ controller design; Lyapunov shaping paradigm; decomposition based approach; direct gradient-based-optimization synthesis technique; distributed controller synthesis; fixed communication topology; multiagent systems; nonconvex design problem; replicated control structure; Communication system control; Control system synthesis; Control systems; Distributed control; Matrix decomposition; Multiagent systems; Performance analysis; Shape control; Stability analysis; Topology;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530554