Decentralized Observer-Based Control for Interconnected Nonlinear Discrete-Time Systems

This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated using the differential mean value theorem and the Lyapunov's direct method stability analysis. The design approach arises from the solution of linear matrix inequalitie (LMI). Simulation results are exploited to show the feasibility and the high performances of the proposed method.