Robust feedback control of singularly perturbed uncertain dynamical systems

Abstract

A class of uncertain singularly perturbed control systems described by ordinary differential equations is considered. The uncertainties are characterized determimstically; the singular perturbation is characterized by a real non-negative system parameter μ For μ = 0, the system order is lower than that for μ > 0. Based mainly on information available on the uncertain reduced-order system. (μ=0), controllers are proposed which ensure that the behaviour of the feedback controlled reduced-order system is close to that of global uniform asymptotic stability about zero. Subject to the same controllers, the full-order system (μ >0) has the same qualitative behaviour, provided μ<μ*, where μ* >0 can be

computed from, the available information