CAJ | 학술논문

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Lypunov-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.
연구료일류함변시체호련항병동시구유필배화불필배불학정성적대계통적분산자괄응공제문제.가정호련항만족필배조건화선성증장조건,단증익미지;동시가정필배불학정성화우동시유계적,단상계미지.채용자괄응솔래고계저사미지적계,병결합LMI방법,설계료일충분산로봉자괄응공제기.기우Lyapunov은정성이론화Lypunov-Krasovskii형범함증명료차공제기사득폐배계통적상태최종일치추우령.최후급출일개방진례자설명결론적유효성.
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