An integral manifold approach to tracking control for a class of non-minimum phase linear systems using output feedback

In this paper the tracking control problem for a class of non-minimum phase linear systems containing n dominant slow modes and m parasitic fast modes using output feedback is considered. It is assumed that the reduced-order slow model obtained by neglecting the parasitic modes is minimum phase. It is shown that by using the integral manifolds approach it is possible to design a corrected dynamical output feedback strategy so that the full-order system restricted to the manifold is minimum phase. This in principle amounts to formally defining a new output for the corrected system is minimum phase. As a consequence of the new redefined output it is then possible to track asymptotically the actual output to an arbitrary degree of accuracy.