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

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

1.
北京科技大学自动化学院北京 100083

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

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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

Stability Analysis of Robust Multiple Model Adaptive Control Systems

1.
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083

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

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.
- 鲁棒多模型自适应控制 /
- 稳定性 /
- 虚拟等价系统 /
- 加权
Abstract: The paper is concerned with the stability of robust multiple model adaptive control (RMMAC) systems. First, the traditional weighting algorithm based on multiple model Kalman filter and Bayes formulas is replaced by a newly developed weighting algorithm; second, with the help of virtual equivalent system (VES) concept and methodology, the stability results are presented for both continuous, linear time-invariant plant and a kind of nonlinear time varying plant.
- Robust multiple model adaptive control (RMMAC) /
- stability /
- virtual equivalent system (VES) /
- weight

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参考文献(17)

[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)
[3]	Dong Zhi-Kun, Wang Xin, Wang Xiao-Bo, Li Shao-Yuan, Zheng Yi-Hui. Application of weighted multiple models adaptive controller in the plate cooling process. Acta Automatica Sinica, 2010, 36(8): 1144-1150(董志坤, 王昕, 王笑波, 李少远, 郑益慧. 多模型加权自适应控制在中厚板层流冷却系统中的应用. 自动化学报, 2010, 36(8): 1144- 1150)
[4]	Fekri S, Athans M, Pascoal A. Issues, progress and new results in robust adaptive control. International Journal of Adaptive Control and Signal Processing, 2006, 20(10): 519 -579
[5]	Magill D T. Optimal adaptive estimation of sampled stochastic processes. IEEE Transactions on Automatic Control, 1965, 10(4): 434-439
[6]	Lainiotis D G. Partitioning: a unifying framework for adaptive systems —— I: Estimation; II: Control. Proceedings of the IEEE, 1976, 64(8): 1126-1143, 1182-1197
[7]	Athans M, Castanon D, Dunn K, Greene C, Lee W, Sandell N Jr, Willsky A S. The stochastic control of the F-8C aircraft using a multiple model adaptive control (MMAC) method —— Part I: Equilibrium flight. IEEE Transactions on Automatic Control, 1977, 22(5): 768-780
[8]	Badr A, Binder Z, Rey D. Weighted multi-model control. International Journal of Systems Science, 1992, 23(1): 145- 149
[9]	Kuipers M, Ioannou P. Practical robust adaptive control: benchmark example. In: Proceedings of the 2008 American Control Conference. Seattle, Washington, USA: IEEE, 2008. 5168-5173
[10]	Baram Y. Information, Consistent Estimation and Dynamic System Identification [Ph.D. dissertation], MIT, Cambridge, MA, USA, 1976.
[11]	Baram Y, Sandell N R. An information theoretic approach to dynamical systems modeling and identification. IEEE Transactions on Automatic Control, 1978, 23(1): 61-66
[12]	Hassani V, Hespanha J, Athans M, Pascoal A. Stability analysis of robust multiple model adaptive control. In: Proceedings of the 18th IFAC World Congress. Milan, Italy: Universitá Cattolica del Sacro Cuore, 2011.
[13]	Zhang W C. Stable weighted multiple model adaptive control: discrete-time stochastic plant. International Journal of Adaptive Control and Signal Processing, 2013, 27(7): 562- 581
[14]	Zhang W C. On the stability and convergence of self-tuning control-virtual equivalent system approach. International Journal of Control, 2010, 83(5): 879-896
[15]	Liberzon D, Morse A S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 1999, 19(5): 59-70
[16]	Shorten R, Wirth F, Mason O, Wulff K, King C. Stability criteria for switched and hybrid systems. SIAM Review, 2007, 49(4): 545-592
[17]	Sun Ben-Wang, Wang Hao. Typical Problems and Solutions in Mathematical Analysis. Changsha: Hunan Science and Technology Press, 1981.(孙本旺, 汪浩. 数学分析中的典型例题和解题方法. 长沙: 湖南科学技术出版社, 1981.)