Output regulation of Boolean control networks with stochastic disturbances

This study addresses the output regulation problem of Boolean control networks (BCNs) in the presence of exogenous disturbances, which are characterised by two-valued mutually independent random logical variables. By using the semi-tensor product technique, the BCNs with stochastic perturbations are represented in their compact algebraic forms, and then a relating augmented system is constructed, which facilitates the analysis of the output regulation problem for the BCNs. As a consequence, necessary and sufficiency criteria are obtained to ensure the existence of the state feedback controllers which efficaciously solve the considered problem. Moreover, executable constructive procedure is also proposed for the controller design. Two simulation examples are exploited in order to illustrate the effectiveness of the proposed criteria as well as the controller design scheme.