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Improved Multiple-State Observer Design for Boolean Control Networks

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 480))

Abstract

This paper tries to deal with the issue of state estimation for Boolean control networks (BCNs), and a kind of improved multiple-state observer is proposed. The improved multiple-state observer can be described by means of a specific BCN that overcomes the difficulty of the existing multiple-state observer, where it is difficult to find a general expression for the observer matrix. Next, based on the states that can possibly generate the output and the ones that are observed by the designed observer in current time step, an adaptive algorithm which finishes the design of multiple-state observer is provided to update the observer states, and the purpose of state estimation for BCN is achieved. Finally, an example is given to illustrate the proposed methods.

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Acknowledgements

This work was supported by National Nature Science Foundation of China (grant nos. 61403129, 61573129). This work was also supported by the Programme of Key Young Teacher of Henan Province Higher University (grant no. 2015GGJS-064), the Doctoral Fund Program of Henan Polytechnic University (grant no. B2015-30), innovation Scientists and Technicians Troop Construction Projects of Henan Polytechnic University and Henan Province (grant nos. T2017-1 and CXTD2016054), and the Science and Technology Innovation Talents Project of Henan Province (grant no. 164100510004).

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Correspondence to Junqi Yang .

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Yang, J., Cui, L., Chen, Y., Gao, Z., Qian, W. (2019). Improved Multiple-State Observer Design for Boolean Control Networks. In: Lam, J., Chen, Y., Liu, X., Zhao, X., Zhang, J. (eds) Positive Systems . POSTA 2018. Lecture Notes in Control and Information Sciences, vol 480. Springer, Cham. https://doi.org/10.1007/978-3-030-04327-8_22

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