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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

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 and Management Optimization, 2008, 4 (4) : 713-726. doi: 10.3934/jimo.2008.4.713
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