Feedback linearization of piecewise linear systems

Authors:	Camlibel Kanat, Dogus University, Turkey Ustoglu Ilker, Istanbul Technical University, Turkey
Topic:	2.2 Linear Control Systems
Session:	Switched Dynamic Systems II
Keywords:	feedback linearization, bimodal systems, conewise linear systems, piecewise linear systems, hybrid systems, nonsmooth dynamical systems

Abstract

One of the classical problems of nonlinear systems and control theory is feedback linearization. Its obvious motivation is that one can utilize linear control theory if the nonlinear system at hand is linearizable by feedback. This problem is well-understood for the smooth nonlinear systems. In the present paper, we investigate feedback linearizability of a class of piecewise linear, and hence nonsmooth, systems.