We consider the problem of optimal H/sub 2/ design of semi-decentralized controllers for a special class of spatially distributed systems. This class includes spatially invariant and distributed discrete-time systems with an inherent temporal delay in the interaction of neighbouring sites. Such a structure arises naturally from spatio-temporal discretizations of many physical systems described by partial differential equations. We consider the problem of optimal design of distributed controllers that have the same information passing delay structure as the plant. We show how the YJBK parametrization of such stabilizing controllers yields a convex parametrization for this class. We then show how the optimal H/sub 2/ problem can be solved exactly.

Voulgaris, P., Bianchini, G., & Bamieh, B. (2000). Optimal decentralized controllers for spatially invariant systems. In Proc. of 39th IEEE Conference on Decision and Control (pp.3763-3768). New York : IEEE [10.1109/CDC.2000.912295].

Optimal decentralized controllers for spatially invariant systems

BIANCHINI, GIANNI;
2000

Abstract

We consider the problem of optimal H/sub 2/ design of semi-decentralized controllers for a special class of spatially distributed systems. This class includes spatially invariant and distributed discrete-time systems with an inherent temporal delay in the interaction of neighbouring sites. Such a structure arises naturally from spatio-temporal discretizations of many physical systems described by partial differential equations. We consider the problem of optimal design of distributed controllers that have the same information passing delay structure as the plant. We show how the YJBK parametrization of such stabilizing controllers yields a convex parametrization for this class. We then show how the optimal H/sub 2/ problem can be solved exactly.
0-7803-6638-7
Voulgaris, P., Bianchini, G., & Bamieh, B. (2000). Optimal decentralized controllers for spatially invariant systems. In Proc. of 39th IEEE Conference on Decision and Control (pp.3763-3768). New York : IEEE [10.1109/CDC.2000.912295].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/442804