Advances in Difference Equations
Volume 2009 (2009), Article ID 896218, 23 pages
doi:10.1155/2009/896218
Switching controller design for a class of Markovian jump nonlinear systems using stochastic small-gain theorem
Jin Zhu1
, Junhong Park1
, Kwan-Soo Lee1
and Maksym Spiryagin4
1Department of Mechanical Engineering, Hanyang University, 133-791 Seoul, South Korea
4Dipartimento di Meccanica, Politecnico di Torino, 10129 Torino, Italy
Abstract
Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in probability and stochastic Lyapunov stability criterion are put forward. By using backsetpping technology and stochastic small-gain theorem, a switching controller is proposed which ensures JISpS in probability for the jump nonlinear system. A simulation example illustrates the validity of this design.