Synthesis of Decentralized Variable Gain Robust Controllers with Guaranteed L2 Gain Performance via Piecewise Lyapunov Functions for a Class of Uncertain Large-Scale Interconnected Systems

For a class of uncertain large-scale interconnected systems, a design method of decentralized variable gain robust controllers with guaranteed ${\mathcal{L}_{{2}}}$ gain performance based on piecewise Lyapunov functions is shown in this paper. Furthermore, LMI-based sufficient conditions for the existence of the proposed decentralized variable gain robust controller are shown. Finally, the effectiveness of the proposed robust controller is presented through a simple numerical example.