变时滞互联项不确定大系统的分散自适应控制(英文)

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

研究了一类含变时滞互联项并同时具有匹配和不匹配不确定性的大系统的分散自适应控制问题.假定互联项满足匹配条件和线性增长条件,但增益未知;同时假定匹配不确定性和扰动是有界的,但上界未知.采用自适应率来估计这些未知的界,并结合LMI方法,设计了一种分散鲁棒自适应控制器.基于Lyapunov稳定性理论和Lyapunov-Krasovskii型泛函证明了此控制器使得闭环系统的状态最终一致趋于零.最后给出一个仿真例子说明结论的有效性.

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