Robust control design for a class of nonlinear uncertain systemswith application to missiles

摘要

In this paper, we shall extend our study of the“recursive-interlacing” design technique of Kaloust and Qu(1995) to a larger class of nonlinear uncertain systems. Therecursive-interlacing design scheme, also referred to “genericdesign procedure”, is a step by step constructive procedure fordesigning robust control for nonlinear systems with additiveunstructured uncertainties. The design procedure is based on theLyapunov's direct method and includes recursive or back-stepping designsas special cases. Nonlinear system under investigation containsuncertainties that do not satisfy any of the previously developedconditions such as the matching conditions, the conditions of beingequivalently matched, and the generalized matching conditions. A classof third order nonlinear uncertain systems is introduced for whichrobust control is designed using the recursive-interlacing designprocedure. The need for such a design scheme emanates from the fact thata wide range of physical systems such as missiles belong to this classof nonlinear uncertain systems