On Decoupling of Descriptor Systmes

This paper is concerned with the decoupling problem for time invariant descriptor systems.Some decoupling conditions are introduced without using additional variables.A new procedure is given for constructing the decoupling system with the descriptor variable feedback and the proper dynamic compensator.The problem is extended to make it a decoupling problem by only descriptor variable feedback, then a sufficient condition and a design procedure are given.It is also shown that under certain conditions the decoupled system may comprise the maximum and stable slow subsystem.A numerical example is included to illustrate proposed conditions and algorithms.