华东师范大学学报(自然科学版)
華東師範大學學報(自然科學版)
화동사범대학학보(자연과학판)
2004年
1期
1-14
,共14页
ARMAX模型%阶数估计%参数估计%强一致性%自适应控制%全局稳定性
ARMAX模型%階數估計%參數估計%彊一緻性%自適應控製%全跼穩定性
ARMAX모형%계수고계%삼수고계%강일치성%자괄응공제%전국은정성
ARMAX model%order estimation%parameter estimation%strong consistency%adaptive control%global stability
该文考虑具有未知阶数和系数的离散时间线性随机控制系统(ARMAX模型),提出一种便于在线实施的自适应控制新算法.在一定的条件下,该算法能保证所建立的闭环系统全局稳定和输出跟踪渐进最优,而且阶数和系数的估计都具有强一致性,同时还给出系数估计的收敛速度.仿真结果表明所提出的自适应控制的新算法是有效的和可行的,且控制量在容许控制的范围之内.
該文攷慮具有未知階數和繫數的離散時間線性隨機控製繫統(ARMAX模型),提齣一種便于在線實施的自適應控製新算法.在一定的條件下,該算法能保證所建立的閉環繫統全跼穩定和輸齣跟蹤漸進最優,而且階數和繫數的估計都具有彊一緻性,同時還給齣繫數估計的收斂速度.倣真結果錶明所提齣的自適應控製的新算法是有效的和可行的,且控製量在容許控製的範圍之內.
해문고필구유미지계수화계수적리산시간선성수궤공제계통(ARMAX모형),제출일충편우재선실시적자괄응공제신산법.재일정적조건하,해산법능보증소건립적폐배계통전국은정화수출근종점진최우,이차계수화계수적고계도구유강일치성,동시환급출계수고계적수렴속도.방진결과표명소제출적자괄응공제적신산법시유효적화가행적,차공제량재용허공제적범위지내.
This paper considers single-input single-output linear discrete-time stochastic feedback control systems(ARMAX model) with unknown orders and coefficients, and propose a new adaptive control algorithm, which is easily implemented on-line. The algorithm can guarantee the global stability of the resulting closed-loop system and the asymptotic optimality of the adaptive tracking. And the estimates of the orders and coefficients are all strongly consistent in the closed-loop identification. Simultaneously, the convergent rate of coefficient estimates to their true values is also given. The simulation results given in this paper show that the new algorithm of the adaptive control we developed here are effective and feasible, besides the control quantities are in the range of the admissible control.
