Robust Decentralized Reliable H∞ Control for Nonlinear Uncertain Interconnected Systems with Time-varying Delays

The problem of robust decentralized reliable H-infinity control is investigated for nonlinear uncertain interconnected systems with state time-varying delays. By conducting proper Lyapunov universal function, we present a group of linear matrix inequality(IIMs) which have the solution as sufficient conditions to stabilize the closed-loop system asymptotically and have the H-infinity property, giving the condition feedback control law. For all admissible uncertainties as well as actuator failure occurring among a assigned set, the closed-loop system is asymptotically stable and has the H-infinity property. An illustrative example and simulation results are given to demonstrate the effectiveness of the proposed design methods.