Robust stability and performance for interval process plants

In this paper, a two-degrees-of-freedom control design methodology for interval plants to guarantee both the robust stability and performance has been considered. A simple necessary condition and sufficient condition for robust Hurwitz stability of interval polynomial has been obtained using the results of Nie [Nie YY. A new class of criterion for the stability of the polynomials. Acta Mechnica Sinica 1976;110-6] for fixed polynomials. The proposed design methodology based on the obtained necessary condition and sufficient condition is then applied to design a robust control system for a second-order unstable plant in the presence of unknown but bounded parameter uncertainties. Subsequently, a pre-filter is constructed to ensure the desired system performance. Simulation results are used to establish the efficacy of the proposed method for interval plants.