Decentralized Adaptive Controller Design for Uncertain Large-Scale Time-Delay Systems

The problem of decentralized robust control is considered for a class of uncertain large-scale time-delay systems in the presence of mismatched and matched uncertainties. The interconnections are assumed to be bounded by a linear function of delayed states with unknown gains. The upper bounds of the matching uncertainties and perturbations are also assumed to be unknown. The adaptation laws are proposed to estimate such unknown bounds, and by making use of the LMI method, a class of decentralized robust adaptive controllers is constructed. Based on the Lyapunov stability theory and Lyapunov-Krasovskii functional, it is shown that the state trajectories of the large-scale systems are uniformly asymptotically to zero. Finally, a numerical example is given to demonstrate the validity of the results