Further Results on Disturbance Decoupling of Mix-Valued Logical Networks

This note investigates the disturbance decoupling problems (DDPs) of mix-valued logical control networks (MLCNs) via semi-tensor product method. By using prime factor decomposition, a unique Y-friendly subspace of mix-valued logical networks (MLNs) is derived. A necessary and sufficient condition is obtained for the solvability of DDPs. An algorithm is proposed to find all disturbance decoupling controllers. This approach is more operational than the existing results in which the Y-friendly subspace is not unique. Finally, an illustrative numerical example is given to show the effectiveness of the proposed method.