TY - JOUR
T1 - A convex characterization of distributed control problems in spatially invariant systems with communication constraints
AU - Bamieh, Bassam
AU - Voulgaris, Petros G.
N1 - Funding Information:
The first author's work is supported in part by NSF grants ECS-0323814 and the second author's work is supported by NSF grants CCR 00-85917, 03-25716 ITR and CMS 03-01622.
PY - 2005/6
Y1 - 2005/6
N2 - In this paper we consider the problem of distributed controller design in spatially invariant systems for which communication among sites is limited. In particular, the controller is constrained so that information is propagated with a delay that depends on the distance between subsystems - a structure we refer to as "funnel" causality. We show that the problem of optimal design can be cast as a convex problem provided that the plant has a similar funnel-causality structure, and the propagation speeds in the controller are at least as fast as those in the plant. As an example, we consider the case of the wave dynamics with limited propagation speed control.
AB - In this paper we consider the problem of distributed controller design in spatially invariant systems for which communication among sites is limited. In particular, the controller is constrained so that information is propagated with a delay that depends on the distance between subsystems - a structure we refer to as "funnel" causality. We show that the problem of optimal design can be cast as a convex problem provided that the plant has a similar funnel-causality structure, and the propagation speeds in the controller are at least as fast as those in the plant. As an example, we consider the case of the wave dynamics with limited propagation speed control.
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U2 - 10.1016/j.sysconle.2004.10.007
DO - 10.1016/j.sysconle.2004.10.007
M3 - Article
AN - SCOPUS:17844379467
SN - 0167-6911
VL - 54
SP - 575
EP - 583
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 6
ER -