Abstract
We consider hybrid systems consisting of a lower-level component with time-driven dynamics interacting with a higher-level component with event-driven dynamics. These typically arise in manufacturing environments where the lower-level component represents physical processes and the higher-level component represents events related to these physical processes. We formulate an optimization problem which aims at jointly optimizing the performance of both hierarchical components and present a hybrid controller for accomplishing this task. A numerical example is given to illustrate the operation of the hybrid controller.
This work is supported in part by NSF under grants EEC-9527422 and ACI-9873339, AFOSR under grant F49620-98-1-0387, AFRL under contract F30603-99-C-0057 and EPRI/DOD under contract WO8333-03.
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References
A. Alur, T. A. Henzinger, and E. D. Sontag, editors. Hybrid Systems. Springer-Verlag, 1996.
P. Antsaklis, W. Kohn, M. Lemmon, A. Nerode, and S. Sastry, editors. Hybrid Systems. Springer-Verlag, 1998.
M. S. Branicky, V. S. Borkar, and S. K. Mitter. A unified framework for hybrid control: Model and optimal control theory. IEEE Tr. on Automatic Control, 43(1):31–45, 1998.
A. E. Bryson and Y. C. Ho. Applied Optimal Control. Hemisphere Publishing Co., 1975.
C. G. Cassandras. Discrete Event Systems: Modeling and Performance Analysis. Irwin Publ., 1993.
C. G. Cassandras, Q. Liu, K. Gokbayrak, and D. L. Pepyne. Optimal control of a two-stage hybrid manufacturing system model. In Proceedings of 38th IEEE Conf. On Decision and Control, pages 450–455, Dec. 1999.
C. G. Cassandras, D. L. Pepyne, and Y. Wardi. Generalized gradient algorithms for hybrid system modele of manufacturing systems. In Proc. Of 37th IEEE Conf. On Decision and Control, pages 2627–2632, December 1998.
C. G. Cassandras, D. L. Pepyne, and Y. Wardi. Optimal control of systems with time-driven and event-driven dynamics. In Proc. Of 37th IEEE Conf. On Decision and Control, pages 7–12, December 1998.
C. G. Cassandras, D. L. Pepyne, and Y. Wardi. Optimal control of a class of hybrid systems. submitted for publication, 1999.
K. Gokbayrak and C. G. Cassandras. Stochastic optimal control of a hybrid manufacturing system model. In Proceedings of 38th IEEE Conf. On Decision and Control, pages 919–924, Dec. 1999.
R. L. Grossman, A. Nerode, A. P. Ravn, and H. Rischel, editors. Hybrid Systems-Vol. 736 of Lecture Notes in Computer Science. Springer-Verlag, 1993.
D. E. Kirk. Optimal Control Theory. Prentice-Hall, 1970.
D. L. Pepyne and C. G. Cassandras. Modeling, analysis, and optimal control of a class of hybrid systems. Journal of Discrete Event Dynamic Systems: Theory and Applications, 8(2):175–201, 1998.
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Gokbayrak, K., Cassandras, C.G. (2000). Hybrid Controllers for Hierarchically Decomposed Systems. In: Lynch, N., Krogh, B.H. (eds) Hybrid Systems: Computation and Control. HSCC 2000. Lecture Notes in Computer Science, vol 1790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46430-1_13
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DOI: https://doi.org/10.1007/3-540-46430-1_13
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