Network-based output feedback stabilization for one-sided Lipschitz nonlinear systems with unknown nonlinearities

Abstract

In this paper, a new control scheme is introduced to solve the output feedback stabilization problem for a class of one-sided Lipschitz nonlinear systems. Since network-based information feedback is the basic condition for building a smart city, the stability of information transmission system need to be guaranteed. In the proposed control scheme, the sampled control information is applied to update the nonlinear system through the forward channel. Two kinds of time delays, forward and feedback channel delays, make the nonlinear system and the output feedback stabilizer be updated at different time intervals. In order to analyze the stability of the closed-loop system, we propose a method of interval decomposition and unify the nonlinear system and the output feedback stabilizer on the same updated time interval. LMI-based sufficient conditions are proposed to ensure the closed-loop system is asymptotically stable. At last, numerical simulations are given to demonstrate the merits of the proposed control scheme.