Adaptive Control of Multivariable Systems with Unknown Sign of the High Frequency Gain Matrix

WU Yu-Qiang; ZHOU Ying

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Adaptive Control of Multivariable Systems with Unknown Sign of the High Frequency Gain Matrix

机译：高频增益矩阵符号未知的多变量系统的自适应控制

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摘要

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.

机译：提出了一种基于矢量形式的非线性反推方法的多变量MRAC系统自适应控制方案。现有结果中对高频增益矩阵的先验知识的假设被削弱，并且可以容易地针对某些工厂进行检查，因此所提出的方法具有广泛的适用性。该控制方案保证了闭环系统的整体稳定性，并使跟踪误差趋于为零并且二次可积分。

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来源
《Acta Automatica Sinica》 |2004年第1期|p.120-125|共6页
作者
WU Yu-Qiang; ZHOU Ying;
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作者单位

Institute of Automation, Qufu Normal University, Qufu 273165;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
vector backstepping method; global stability; multivariable systems;

机译：向量反推法;全局稳定性;多变量系统;

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2. Adaptive Fuzzy Control for Multivariable Nonlinear Systems with Indefinite Control Gain Matrix and Unknown Control Direction [J] . Salim Labiod, Thierry Marie Guerra IFAC PapersOnLine . 2020,第2期

机译：具有无限控制增益矩阵和未知控制方向的多变量非线性系统的自适应模糊控制
3. Adaptive control of linear multivariable systems with high frequency gain matrix hurwitz [J] . Ying ZHOU, Yuqiang WU, Shumin FEI Journal of Control Theory and Applications . 2005,第3期

机译：具有高频增益矩阵hurwitz的线性多变量系统的自适应控制。
4. Adaptive Fuzzy Control of MIMO Nonlinear Systems with Unknown Hysteresis and Control Gain Matrix Sign [C] . A. Boulkroune, M. MSaad, M. Tadjine, Mediterranean Conference on Control Automation . 2008

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8. Adaptive Stabilization of Linear Systems with Unknown High-Frequency Gains [R] . Mudgett, D. R., Morse, A. S. 1985

机译：具有未知高频增益的线性系统的自适应镇定

Adaptive Control of Multivariable Systems with Unknown Sign of the High Frequency Gain Matrix

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