On the P-D State Feedback Controller Design for the Common Triangular Decoupling of Multi Model Descriptor Systems*

The problem of common Triangular Decoupling for multi model descriptor linear systems, via regular Proportional plus Derivative (P-D) state feedback controllers, is solved. The necessary and sufficient conditions for the solvability of the problem are established. The analytic expressions of the general solution of the P-D state feedback controllers and the general solutions of the multi model triangularly decoupled closed transfer matrices are derived.