时滞大系统的模型参考鲁棒自适应分散控制

摘要

基于Lyapunov-Krasovskii(L-K)泛函方法,结合线性矩阵不等式(linear matrix inequality,LMI)技术以及自适应控制方法,研究了一类不确定时变时滞大系统的模型参考跟踪控制问题,提出了一种鲁棒自适应分散控制器设计方法.时滞无关的控制器设计无需模型参考跟踪控制中苛刻的模型匹配条件且局部状态反馈增益以LMI形式给出,便于计算机求解和参数优化.为避免控制过程中的自适应参数持续增长问题,提出了死区自适应算法.最后以仿真实例表明了所提方法的正确性与有效性.%Based on Lyapunov-Krasovskii (L-K) functional method, by using linear matrix inequality (LMI) technique and adaptive control approach, a decentralized robust adaptive model reference controller is designed for a class of uncertain large-scale systems with time-varying delay. The rigorous matching condition which is generally used in model reference control is not required in the delay-independent control design and the local state feedback gains are given by LMI, which gives facilities for searching its numerical solution on computer and optimizing the performance specifications. In order to avoid the problem of persistent increasing of adaptive parameters, the dead-zone adaptive algorithm is proposed. Finally, a simulation example is given to show the correctness and effectiveness of the proposed scheme.