Exponential stabilization of a class of nonlinear neutral type time-delay systems, an oilwell drilling model example

This paper deals with exponential stabilization of the class of nonlinear neutral type time-delay systems that can be transformed into a multi-model system. The approach is based on Lyapunov-Krasovskii techniques and uses a descriptor representation. The exponential stability properties are proved using an appropriate change of variables associated with a polytopic representation. The results are given in terms of LMIs. As an application example, we determine an effective stabilizing controller for an oilwell drilling system.