Input–output decoupling for mix-valued logical control networks via the semi-tensor product method

This paper investigates the input–output decoupling problem of mix-valued logical control networks by using the semi-tensor product method. First, an algorithm is proposed to construct an output-friendly subspace of mix-valued logical control networks and necessary and sufficient conditions for the existence of the consistent output-friendly subspaces are derived. Then, necessary and sufficient conditions for the solvability of input–output decoupling problem of mix-valued logical control networks are obtained under open-loop controller. Finally, an illustrative example is given to show the effectiveness of the obtained results.