Input-Output Decoupling of Linear Systems Via Wu Elimination Method

The paper discussed the problem for input-output decoupling of linear systems via Wu elimination method, including the cases of linear singular systems and linear time-delay systems. The problem of input-output complete decoupling is that of diagonalization nonsingular transfer function which can be transformed into solving problem of multipolynomial equations. Based on algebraic geometry, the Wu method provides a mechanical algorithm for solving the problem of input-output complete decoupling via several feedback cases. Necessary and sufficient conditions for decoupling problems were given. Several examples were presented, and some of them were compared with ones of other papers.