Decentralized Variable Gain Robust Controllers Based on Piecewise Lyapunov Functions for a Class of Uncertain Large-Scale Interconnected Systems

Abstract This paper deals with a design problem of a decentralized variable gain robust controller via piecewise Lyapunov functions for a class of uncertain large-scale interconnected systems. The decentralized variable gain robust controller developed in this paper consists of fixed gains and compensation inputs tuned by parameter adjustment laws. In this paper, we show LMI-based sufficient conditions for the existence of the decentralized variable gain robust controller. Finally, the effectiveness of the proposed decentralized variable gain robust control system is presented through a simple numerical example.