Decentralized global robust stabilization of a class of large-scale interconnected minimum-phase nonlinear systems

This paper focuses on a class of large-scale interconnected minimum-phase nonlinear systems with parameter uncertainty and nonlinear interconnections. The uncertain parameters are allowed to be time-varying and enter the systems nonlinearly. The interconnections are bounded by higher-order polynomials of states. The problem we address is to design a decentralized robust controller such that the closed-loop large-scale interconnected nonlinear system is globally asymptotically stable for all admissible uncertain parameters and interconnections. It is shown that the decentralized global robust stabilization can be solved by a Lyapunov-based recursive design method. The main results of this paper generalize existing centralized global stabilization results to decentralized control of large-scale interconnected systems