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Optimal output consensus for linear systems: A topology free approach
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2016 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 68, 352-356 p.Article in journal (Refereed) PublishedText
Abstract [en]

In this paper, for any homogeneous system of agents with linear continuous time dynamics, we formulate an optimal control problem. In this problem a convex cost functional of the control signals of the agents shall be minimized, while the outputs of the agents shall coincide at some given finite time. This is an instance of the rendezvous or finite time consensus problem. We solve this problem without any constraints on the communication topology and provide a solution as an explicit feedback control law for the case when the dynamics of the agents is output controllable. It turns out that the communication graph topology induced by the solution is complete. Based on this solution for the finite time consensus problem, we provide a solution to the case of infinite time horizon. Furthermore, we investigate under what circumstances it is possible to express the controller as a feedback control law of the output instead of the states.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 68, 352-356 p.
Keyword [en]
Consensus control, Multi-agent systems, Network topologies, Optimal control, Time-invariant, Continuous time systems, Control theory, Feedback control, Linear systems, Multi agent systems, Optimal control systems, Problem solving, Communication topologies, Infinite time horizon, Linear continuous-time, Network topology, Optimal control problem, Optimal controls, Time invariants, Topology
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-186950DOI: 10.1016/j.automatica.2016.02.003ISI: 000375507600040ScopusID: 2-s2.0-84960913183OAI: diva2:930563

QC 20160524

Available from: 2016-05-24 Created: 2016-05-16 Last updated: 2016-06-09Bibliographically approved

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Hu, Xiaoming
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Optimization and Systems Theory
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