Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (5): 98-106.

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Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)

XU Jian-qiang 1, 2 , CHEN Shu-zhong 1   

  1. 1. Department of Computer Science and Technology, East China Normal University, Shanghai 200062, China ; 2. Center of Mathematics and Physics Teaching, Shanghai Institute of Technology, Shanghai 200233, China
  • Received:2006-04-21 Revised:2006-09-13 Online:2007-09-25 Published:2007-09-25
  • Contact: XU Jian-qiang

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Abstract: 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.

Key words: time-varying delay, linear matrix inequalities, Lyapunov-Krasovskii functional, decentralized adaptive control, uncertain large-scale systems, time-varying delay, linear matrix inequalities, Lyapunov-Krasovskii functional, decentralized adaptive control

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