Robust adaptive decentralized control for a class of noaffine stochastic nonlinear interconnected systems

In this paper, the problem of approximation-based adaptive decentralized control is considered for a class of noaffine stochastic nonlinear interconnected large-scale systems. Based on backstepping design, an adaptive state-feedback controller is proposed, which can guarantees that all the signals in the closed-loop systems remain fourth-moment bounded. During the controller design, fuzzy logic systems are utilized to model unknown nonlinear functions. The main contributions of the developed control scheme lie in that the proposed control scheme is independent of the information of basis functions of fuzzy systems and only one adaptive parameter needs to be estimated online for each subsystem. Simulation results are provided to illustrate the effectiveness of the proposed approach.