四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY(NATURAL SCIENCE EDITION)
2010年
1期
49-55
,共7页
多变量系统%模型参考自适应控制%高频增益矩阵%L_2D_2S_2分解
多變量繫統%模型參攷自適應控製%高頻增益矩陣%L_2D_2S_2分解
다변량계통%모형삼고자괄응공제%고빈증익구진%L_2D_2S_2분해
multivariable systems%model reference adaptive control (MRAC)%high-frequency gain matrix%L_2D_2S_2 factorization
本文针对矩阵分解的多变量自适应控制,提出了具有噪声与未建模动态系统的鲁棒自适应控制问题.在高频增益矩阵分解的基础上,得到等价自适应控制律,通过重新定义虚拟规范化信号,对多变量的MRAC方案进行了理论分析,并证明了闭环系统的稳定性和收敛性.最后仿真验证了该方案是可行的.
本文針對矩陣分解的多變量自適應控製,提齣瞭具有譟聲與未建模動態繫統的魯棒自適應控製問題.在高頻增益矩陣分解的基礎上,得到等價自適應控製律,通過重新定義虛擬規範化信號,對多變量的MRAC方案進行瞭理論分析,併證明瞭閉環繫統的穩定性和收斂性.最後倣真驗證瞭該方案是可行的.
본문침대구진분해적다변량자괄응공제,제출료구유조성여미건모동태계통적로봉자괄응공제문제.재고빈증익구진분해적기출상,득도등개자괄응공제률,통과중신정의허의규범화신호,대다변량적MRAC방안진행료이론분석,병증명료폐배계통적은정성화수렴성.최후방진험증료해방안시가행적.
According to multivariable model reference adaptive control, the robust adaptive control problem for systems with noise and un-modeled dynamics is proposed. The certainty-equivalence adaptive control law is obtained through high-frequency gain matrix factorization. And multivariable MRAC scheme is analyzed by introducing the normalizing signal, moreover, the stability of closed-loop plant and convergence of error are proved in detail. Finally, the simulation results show that the scheme is effective.