A polynomial approach to simultaneous stabilization of SISO plants

Abstract

A preliminary approach for stabilizing two SISO plants is outlined. By utilizing the results in G. Celentano and G. De Maria (1989) characterizing the set of all stabilizing compensators for single-input systems, it is shown that such a characterization can be easily reduced to a form similar to the classical Youla-Kucera one. Following the work of M. Jodorkovsky and W. Levine (1990) and starting from the same assumptions, it is shown that the problem can be solved by suitably selecting three Hurwitz polynomials.<>