Recurrent Output Tracking of Switched Boolean Control Networks under Constant Reference Signal

This paper investigates the recurrent output tracking (ROT) problem of switched Boolean control networks (SBCNs). The ROT problem of SBCNs is formulated when the output tracking of systems does not need to or can not be achieved. Leveraging the concept of recurrent state and reachable set, a necessary and sufficient condition is proposed to check the solvability of the ROT problem for SBCNs. Subsequently, an efficient algorithm is established to design state feedback switching signals and state feedback controllers such that the SBCNs can recurrently track a fixed reference output signal. Finally, the validity of obtained results is verified through a practical example.