Block decoupling and pole assignment of singular systems: a frequency domain approach

The problem of block decoupling of singular systems via state feedback and regular input transformation is solved by following an approach based on the matrix fraction description (MFD) of the system. The solvability condition is obtained from the ʹnumeratorʹ matrix of a coprime and column reduced MFD of the given system. The characterization of the fixed poles is given and it is shown that all the non-fixed poles can be arbitrarily assigned.