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.