Disturbance Decoupling for Linear Singular Systems with Time Delay

The paper discussed the problem for disturbance decoupling of linear singular systems with time delay via Wu elimination method. The problem of input-output disturbance decoupling is that of zerolization of transfer function which can be transformed into solving problem of multi polynomial equations. Based on algebraic geometry, the Wu method provides a mechanical algorithm for solving the problem of input-output disturbance decoupling via several feedback cases. Necessary and sufficient conditions for decoupling problems were given. Two examples were presented.