Static and Dynamic Feedback Linearization of Nonlinear Systems

Abstract

The necessary and sufficient conditions for linearization via state space change of coordinates and for (static) feedback linearization via nonsingular state feedback and change of coordinates are recalled from[15], [23], [9], [13] and discussed. For those nonlinear systems which are not feedback linearizable, the determination of the largest feedback linearizable subsystem is discussed and the main results from [16] and [18]are recalled. Finally the problem of dynamic feedback linearization via nonsingular dynamic state feedback and extended state space change of coordinates is posed and recent results from [3], [4], [5] are stated and discussed.