Parametric stabilization of large-scale nonlinear systems

Abstract

This paper investigates parametric stability of nonlinear systems with uncertain parameters based on decentralized control. The main concern is that the equilibrium of the closed-loop system drifts with the change of the parameters. First, the impact of the parameters on the equilibrium location is investigated. Then, a decentralized linear controller is designed to make the closed-loop system parametrically stable. The proposed method combines different optimization techniques to produce a robust control that accounts for uncertain parametric variations, and the corresponding equilibrium shifts. Finally, simulation results are given to show the effectiveness of the proposed method.