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XU Jian-qiang, CHEN Shu-zhong. Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 98-106.
Citation:
XU Jian-qiang, CHEN Shu-zhong. Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 98-106.
XU Jian-qiang, CHEN Shu-zhong. Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 98-106.
Citation:
XU Jian-qiang, CHEN Shu-zhong. Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 98-106.
The problem of decentralized adaptive control was considered for a class of uncertain large-scale time-varying delays systems in the presence of mismatched and matched uncertainties. The interconnections were assumed to satisfy the match condition and be bounded by a linear function of delayed states with unknown gains. The upper bounds of the matching uncertainties and perturbations were also assumed to be unknown. The adaptation laws were proposed to estimate such unknown bounds, and by making use of the LMI method, a class of decentralized robust adaptive controllers was constructed. Based on the Lyapunov stability theory and Lyapunov-Krasovskii functional, it was shown that the state trajectories of the large-scale systems were uniformly asymptotically to zero. Finally, a numerical example was given to demonstrate the validity of the results.