Full-state feedback linearization and backstepping control of nonlinear Markovian jump systems

This paper investigates the full-state feedback linearization and backstepping control design problems for a class of nonlinear Markovian jump systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes following with the Markovian switchings, i.e., the system can be full-state feedback linearized in every jump mode with respect to the relative degree set {n, ..., n}. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotically stability of nonlinear Markovian jump systems.