For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U ...For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U axe derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators.展开更多
Disturbance rejection algorithm based on model reference adaptive control(MRAC)augmentation is investigated for uncertain turbulence disturbances.A stable adaptive control scheme is developed based on lower diagonal u...Disturbance rejection algorithm based on model reference adaptive control(MRAC)augmentation is investigated for uncertain turbulence disturbances.A stable adaptive control scheme is developed based on lower diagonal upper(LDU)decomposition of the high frequency gain matrix,which ensures closed-loop stability and asymptotic output tracking.Under the proposed control techniques,the bounded stability is achieved and the controller is able to remain within tight bounds on the matched and unmatched uncertainties.Finally,simulation studies of a linearized lateral-directional dynamics model are conducted to demonstrate the performance of the adaptive scheme.展开更多
基金Supported by the President Foundation of Chinese Academy of Science and Specialized Research Fund for the Doctorial Progress of Higher Education under Grant No.20070358009
文摘For classical transformation （q1,q2） → （Aq1 ＋ Bq2, Cq1 ＋ Dq2）, where AD - CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix （A B C D ）. The explicit operators L, D, and U axe derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators.
文摘Disturbance rejection algorithm based on model reference adaptive control(MRAC)augmentation is investigated for uncertain turbulence disturbances.A stable adaptive control scheme is developed based on lower diagonal upper(LDU)decomposition of the high frequency gain matrix,which ensures closed-loop stability and asymptotic output tracking.Under the proposed control techniques,the bounded stability is achieved and the controller is able to remain within tight bounds on the matched and unmatched uncertainties.Finally,simulation studies of a linearized lateral-directional dynamics model are conducted to demonstrate the performance of the adaptive scheme.
