Renshu Wang
School of Control and Computer Engineering, North China Electric Power University, No. 2, Beinong Road, Huilongguan Town, Changping District, 102206, Beijing, People`s Republic of China
Yan Bai
School of Control and Computer Engineering, North China Electric Power University, No. 2, Beinong Road, Huilongguan Town, Changping District, 102206, Beijing, People`s Republic of China
Yaochun Zhu
School of Control and Computer Engineering, North China Electric Power University, No. 2, Beinong Road, Huilongguan Town, Changping District, 102206, Beijing, People`s Republic of China
Yun Ju
School of Control and Computer Engineering, North China Electric Power University, No. 2, Beinong Road, Huilongguan Town, Changping District, 102206, Beijing, People`s Republic of China
ABSTRACT
The sequence control system based on wireless network with smart nodes is proposed. Because the data is transmitted through wireless network, the controllability of the system will be influenced by bit errors and time delays in data transmission. Although this problem has been studied in continuous control system, there is no published study solving it in sequence control system. To settle this problem, the system is modeled as a Probabilistic Boolean Control Network (PBCN) with time delays. Then, with the introduction of the Semi-Tensor Product (STP), the criteria of the controllability are derived when the system is under different controls. Base on the derived criteria, related examples are presented for illustration and demonstration of the proposed solution.
PDF References Citation
How to cite this article
Renshu Wang, Yan Bai, Yaochun Zhu and Yun Ju, 2013. Controllability of Wireless Sequence Control System with Time Delays Based
on Semi-tensor Product. Information Technology Journal, 12: 4435-4440.
DOI: 10.3923/itj.2013.4435.4440
URL: https://scialert.net/abstract/?doi=itj.2013.4435.4440
DOI: 10.3923/itj.2013.4435.4440
URL: https://scialert.net/abstract/?doi=itj.2013.4435.4440
REFERENCES
- Al-Karaki, J.N. and A.E. Kamal, 2004. Routing techniques in wireless sensor networks: A survey. IEEE Wireless Commun., 11: 6-28.
CrossRefDirect Link - Cheng, D.Z. and Qi, H.S., 2010. A linear representation of dynamics of Boolean networks. IEEE Trans. Autom. Control, 55: 2251-2258.
CrossRefDirect Link - Cheng, D.Z. and H.S. Qi, 2009. Controllability and observability of Boolean control networks. Automatica, 45: 1659-1667.
CrossRefDirect Link - Cheng, D.Z., Z.Q. Li and H.S. Qi, 2010. Realization of Boolean control networks. Automatica, 46: 62-69.
CrossRefDirect Link - Ching, W.K., S.Q. Zhang, Y. Jiao, T. Akutsu, N.K. Tsing and A.S. Wong, 2009. Optimal control policy for probabilistic Boolean networks with hard constraints. IET Syst. Biol., 3: 90-99.
CrossRefDirect Link - Eryilmaz, A. and R. Srikant, 2006. Joint congestion control, routing and MAC for stability and fairness in wireless networks. IEEE J. Sel. Areas Commun., 24: 1514-1524.
CrossRefDirect Link - Kauffman, S.A., 1969. Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol., 22: 437-467.
CrossRefDirect Link - Li, F.F. and J.T. Sun, 2011. Controllability of Boolean control networks with time delays in states. Automatica, 47: 603-607.
CrossRefDirect Link - Li, F.F. and J.T. Sun, 2011. Controllability of probabilistic Boolean control networks. Automatica, 47: 2765-2771.
CrossRefDirect Link - Shmulevich, I., E.R. Dougherty, S. Kim and W. Zhang, 2002. Probabilistic Boolean networks: A rule-based uncertainty model for gene regulatory networks. Bioinformatics, 18: 261-274.
CrossRefPubMedDirect Link - Willig, A., 2008. Recent and emerging topics in wireless industrial communications: A selection. IEEE Trans. Ind. Inform., 4: 102-124.
CrossRefDirect Link - Zhao, Y. and D.Z. Cheng, 2012. Controllability and stabilizability of probabilistic logical control networks. Proceedings of the IEEE 51st Annual Conference on Decision and Control, December 10-13, 2012, Maui HI., USA., pp: 6729-6734.
CrossRef