A unified model for state feedback of discrete event systems II: Control synthesis problems

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October 2008, 4(4): 713-726. doi: 10.3934/jimo.2008.4.713

A unified model for state feedback of discrete event systems II: Control synthesis problems

Qiying Hu ^1, , Chen Xu ^2, and Wuyi Yue ^3,

1.	School of Management, Fudan University, Shanghai 200433, China
2.	School of Science, Shenzhen University, Guang Dong 518060
3.	Department of Intelligence and Informatics, Konan University, 8-9-1 Okamoto, Kobe 658-8501

Received March 2008 Revised August 2008 Published November 2008

Abstract
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This paper studies control synthesis problems in a new model framework for discrete event state feedback control systems. The new model framework consists of a basis model as well as concurrent models. We study relationships between the basis model and the concurrent models from the perspective of a predicate being controllable and synthesizable. We derive a linear order for the models, and moreover, show that they are equivalent under certain conditions. Based on this, three conditions are presented for synthesizing a predicate completely. Finally, the optimal control synthesis problem for both the basis model and the concurrent models is studied.

Keywords: controllability., control synthesis, State feedback, discrete event systems, unified model.

Mathematics Subject Classification: Primary: 37V45; Secondary: 93C6.

Citation: Qiying Hu, Chen Xu, Wuyi Yue. A unified model for state feedback of discrete event systems II: Control synthesis problems. Journal of Industrial & Management Optimization, 2008, 4 (4) : 713-726. doi: 10.3934/jimo.2008.4.713

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