Stabilization of nonlinear multiple channels data transmission networked control systems

Abstract

In this note, a new nonlinear Markovian jump systems model is proposed to describe the nonlinear multiple channels data transmission networked control systems (NCSs) with network-induced data loss and time-varying delay. By choosing appropriate stochastic Lyapunov functional, a sufficient condition is derived, and the obtained condition establishes the relation of the maximum allowable delay bound and the nonlinearity level to the stochastic stability of the augmented nonlinear NCSs. Design procedures for mode-dependent output feedback controllers are also presented in terms of solving corresponding linear matrix inequalities (LMIs). An illustrative example is provided to demonstrate the effectiveness of the proposed methods.