Switching Control of Singularly Perturbed Uncertain Systems using Finite Frequency Strategy

Based on the switching strategy, this paper presents an finite frequency formulation for the robust stabilization of singularly perturbed uncertain systems. An uncertain system is modeled as a parallel connection of a nominal system and an error system represented in the form of a linear parameter-varying system. A family of dynamic output feedback controllers are designed to enhance the robustness of the error system against finite frequency uncertainties over the operational region. A hysteresis switching is proposed to coordinate the candidate controllers. The proposed scheme is applied in the longitudinal control of an F16 aircraft to verify its effectiveness and merits.