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高频增益矩阵符号未知的多变量系统自适应控制
引用本文:武玉强,周颖.高频增益矩阵符号未知的多变量系统自适应控制[J].自动化学报,2004,30(1):120-125.
作者姓名:武玉强  周颖
作者单位:1.曲阜师范大学自动化研究所,曲阜;
基金项目:National Natural Science Foundation of P. R. China(60174042,69934010)
摘    要:基于向量形式的非线性Backstepping方法,对多变量模型参考自适应控制(MRAC)系 统设计出新的自适应控制器.该设计机制减弱了现有研究中对高频增益矩阵的假定条件,使某些 系统关于高频增益矩阵的假定条件便于检验,从而该控制器的实用范围更广.该控制器能保证系 统的全局稳定性,跟踪误差趋于零并且是平方可积的.

关 键 词:向量Backstepping方法    全局稳定性    多变量系统
收稿时间:2002-12-17

Adaptive Control of Multivariable Systems with Unknown Sign of the High Frequency Gain Matrix
WU Yu-Qiang,ZHOU Ying.Adaptive Control of Multivariable Systems with Unknown Sign of the High Frequency Gain Matrix[J].Acta Automatica Sinica,2004,30(1):120-125.
Authors:WU Yu-Qiang  ZHOU Ying
Affiliation:1.Institute of Automation,Qufu Normal University,Qufu;Institute of Automation,Southeast University,Nanjing
Abstract:A new adaptive control scheme is proposed for multivariable MRAC systems based on the nonlinear backstepping approach in vector form. The assumption on a prior knowledge of the high frequency gain matrix in the existing results is weakened and can be easily checked for certain plants so that the proposed method is widely applicable. This control scheme guarantees the global stability of the closed-loop system and makes the tracking error tend to be zero and quadratically integrable.
Keywords:Vector backstepping method  global stability  multivariable systems
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