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鲁棒多模型自适应控制系统的稳定性

张维存 刘冀伟 胡广大

张维存, 刘冀伟, 胡广大. 鲁棒多模型自适应控制系统的稳定性. 自动化学报, 2015, 41(1): 113-121. doi: 10.16383/j.aas.2015.c131081
引用本文: 张维存, 刘冀伟, 胡广大. 鲁棒多模型自适应控制系统的稳定性. 自动化学报, 2015, 41(1): 113-121. doi: 10.16383/j.aas.2015.c131081
ZHANG Wei-Cun, LIU Ji-Wei, HU Guang-Da. Stability Analysis of Robust Multiple Model Adaptive Control Systems. ACTA AUTOMATICA SINICA, 2015, 41(1): 113-121. doi: 10.16383/j.aas.2015.c131081
Citation: ZHANG Wei-Cun, LIU Ji-Wei, HU Guang-Da. Stability Analysis of Robust Multiple Model Adaptive Control Systems. ACTA AUTOMATICA SINICA, 2015, 41(1): 113-121. doi: 10.16383/j.aas.2015.c131081

鲁棒多模型自适应控制系统的稳定性

doi: 10.16383/j.aas.2015.c131081
基金项目: 

国家重点基础研究发展规划(973计划)(2012CB821200);国家高技术研究发展计划(863 计划)(2011AA060408)资助

详细信息
    作者简介:

    刘冀伟 北京科技大学自动化学院副教授.主要研究方向为图像处理,现代控制理论和智能控制. E-mail:easyliu@vip.sina.com

    通讯作者:

    张维存 博士,北京科技大学自动化学院副教授.主要研究方向为控制理论及应用,自校正控制和多模型自适应控制.本文通信作者. E-mail:weicunzhang@ustb.edu.cn

Stability Analysis of Robust Multiple Model Adaptive Control Systems

Funds: 

Supported by National Basic Research Program of China (973 Program) (2012CB821200) and National High Technology Research and Development Program of China (863 Program) (2011 AA060408)

  • 摘要: 研究含有不确定性的连续时间随机被控对象的鲁棒多模型自适应控制(Robust multiple model adaptive control, RMMAC)的闭环稳定性问题. 通过采用基于模型输出误差指标的 加权算法取代传统的基于卡尔曼滤波器和贝叶斯后验概率公式的加权算法, 在权值收敛的前提下, 基于虚拟等价系统(Virtual equivalent system, VES)理论给出了此类鲁棒多模型自适应控制系统的闭环稳定性证明, 并将结果推广到可以用多个线性系统系统模型进行逼近的 一类非线性慢时变被控对象.
  • [1] Liu Lin-Lin, Zhou Li-Fang, Ji Ting, Zhao Yu-Hong. Research on model switching method of multi-hierarchical model predictive control system. Acta Automatica Sinica, 2013, 39(5): 626-630(刘琳琳, 周立芳, 嵇婷, 赵豫红. 多层次多模型预测控制算法的模型切换方法研究. 自动化学报, 2013, 39(5): 626-630)
    [2] Huang Miao, Wang Xin, Wang Zhen-Lei. Multiple models adaptive control based on time series for a class of nonlinear systems. Acta Automatica Sinica, 2013, 39(5): 581-586(黄淼, 王昕, 王振雷. 一类非线性系统的基于时间序列的多模型自适应控制. 自动化学报, 2013, 39(5): 581-586)
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出版历程
  • 收稿日期:  2013-12-03
  • 修回日期:  2014-04-10
  • 刊出日期:  2015-01-20

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