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Optimal controllers for spatially invariant systems with delayed communication requirements |
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| Authors: | Petros G. Voulgaris Gianni Bianchini Bassam Bamieh |
| Affiliation: | a Coordinated Science Laboratory, Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, 1308 W. Main Street, Urbana, IL 61801, USA;b Dipartimento di Ingegneria dell'Informazione, Università di Siena, Siena, Italy;c Department of Mechanical and Environmental Engineering, University of California at Santa Barbara, CA 93106, USA |
| Abstract: | We consider the problem of optimal 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 neighboring sites. We consider the problem of optimal design of distributed controllers that have the same information passing delay structure as the plant. We show how for stable plants, the YJBK parameterization of such stabilizing controllers yields a convex parameterization for this class. We then show how the optimal problem can be solved. |
| Keywords: | Spatial invariance control Distributed systems |
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