Distributed observer design for large-scale Boolean control networks

In this paper, we investigate distributed observer design for large-scale Boolean control networks (BCNs) by applying the semi-tensor product. Firstly, we give a sufficient condition for reconstructibility of large-scale BCNs with acyclic structure. After that, a necessary and sufficient condition for unknown input reconstructibility is introduced. Based on that, a sufficient condition for the reconstructibility of general large-scale BCNs is proposed. Secondly, in case of a reconstructible large-scale BCN, an approach for distributed observer design is introduced to facilitate state estimation for large-scale BCNs. Finally, examples are given to illustrate the proposed approach.