Pole-Placement for Generalized Systems Simultaneous Stabilization

Basis on stable fractional theory and state-space realization of generalized systems, the pole-placement problem are analyzed in a single generalized system stabilization at first. Then, parameterization of all simultaneous stabilizing controllers for a set of generalized plants has been proposed in term of stable inverses and stable null spaces, which is shown to have a structure similar to the controller parameterized results for a single generalized plant. Finally the pole-placement problem for simultaneous stabilization of generalized systems is proposed, which is an extension of result that the pole-placement problem for a single generalized system stabilization. At last a case study shows the method is right and effective.