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基于多步控制策略的混合H2/H鲁棒预测控制器设计

黄鹤 李德伟 席裕庚

黄鹤, 李德伟, 席裕庚. 基于多步控制策略的混合H2/H∞鲁棒预测控制器设计. 自动化学报, 2012, 38(6): 944-950. doi: 10.3724/SP.J.1004.2012.00944
引用本文: 黄鹤, 李德伟, 席裕庚. 基于多步控制策略的混合H2/H鲁棒预测控制器设计. 自动化学报, 2012, 38(6): 944-950. doi: 10.3724/SP.J.1004.2012.00944
HUANG He, LI De-Wei, XI Yu-Geng. On Design of Mixed H2/H∞ RMPC Based on Multi-step Control Strategy. ACTA AUTOMATICA SINICA, 2012, 38(6): 944-950. doi: 10.3724/SP.J.1004.2012.00944
Citation: HUANG He, LI De-Wei, XI Yu-Geng. On Design of Mixed H2/H RMPC Based on Multi-step Control Strategy. ACTA AUTOMATICA SINICA, 2012, 38(6): 944-950. doi: 10.3724/SP.J.1004.2012.00944

基于多步控制策略的混合H2/H鲁棒预测控制器设计

doi: 10.3724/SP.J.1004.2012.00944
详细信息
    通讯作者:

    李德伟,上海交通大学自动化系副研究员.分别于1993年和2009年在上海交通大学自动化系获得学士学位和博士学位.主要研究方向为预测控制理论与算法.

On Design of Mixed H2/H RMPC Based on Multi-step Control Strategy

  • 摘要: 针对具有外界扰动的线性定常(Linear time invariant, LTI)系统, 本文研究了其鲁棒预测控制器(Robust model predictive control, RMPC)的设计方法. 设计采用了混合的H2/H∞控制方法以有效地兼顾系统的抗干扰能力和闭环控制性能. 同时, 为了降低设计的保守性, 设计利用闭环多步控制策略以扩大控制器的可行范围, 改善系统控制性能. 进而, 为了便于实际实施, 提出该RMPC的简化设计, 通过将大部分在线计算量离线完成以降低鲁 棒预测控制器的在线计算量.
  • [1] Mayne D Q, Rawlings J B, Rao C V, Scokaert P O M. Constrained model predictive control: stability and optimality. Automatica, 2000, 36(6): 789-814[2] Qin S J, Badgwell T A. A survey of industrial model predictive control technology. Control Engineering Practice, 2003, 11(7): 733-764[3] Xi Y G, Li D W. Fundamental philosophy and status of qualitative synthesis of model predictive control. Acta Automatica Sinica, 2008, 34(10): 1225-1234[4] Kothare M V, Balakrishnan V, Morari M. Robust constrained model predictive control using linear matrix inequalities. Automatica, 1996, 32(10): 1361-1379[5] Cuzzola F A, Geromel J C, Morari M. An improved approach for constrained robust model predictive control. Automatica, 2002, 38(7): 1183-1189[6] Mao W J. Robust stabilization of uncertain time-varying discrete systems and comments on “an improved approach for constrained robust model predictive control”. Automatica, 2003, 39(6): 1109-1112[7] Li D W, Xi Y G. Design of robust model predictive control based on multi-step control set. Acta Automatica Sinica, 2009, 35(4): 433-437[8] Li D W, Xi Y G, Zheng P Y. Constrained robust feedback model predictive control for uncertain systems with polytopic description. International Journal of Control, 2009, 82(7): 1267-1274[9] Wang J, Liu Z Y, Chen H, Yu S Y, Pei R. H∞ Output feedback control of constrained systems via moving horizon strategy. Acta Automatica Sinica, 2007, 33(11): 1176-1181[10] Xie L, Soh Y C. Guaranteed cost control of uncertain discrete-time systems. Control Theory and Advanced Technology, 1995, 10(4): 1235-1251[11] Dhawan A, Kar H. Optimal guaranteed cost control of 2-D discrete uncertain systems: an LMI approach. Signal Processing, 2007, 87(12): 3075-3085[12] Yu L. Optimal guaranteed cost control of linear uncertain system: an LMI approach. Journal of Control Theory and Application, 2000, 17(3): 423-428[13] Orukpe P E, Jaimoukha I M, El-Zobaidi H M H. Model predictive control based on mixed H2/H∞ control approach. In: Proceedings of the 2007 American Control Conference (ACC). New York, USA: IEEE, 2007. 6147-6150[14] Orukpe P E, Zheng Xiang, Jaimoukha I M, Zolotas A C, Goodall R M. Model predictive control based on mixed H2/H∞ control approach for active vibration control of railway vehicles. Vehicle System Dynamics: International Journal of Vehicle Mechanics and Mobility, 2008, 46(S1): 151- 160[15] Gahinet P, Nemirovski A, Laub A J, Chilali M. LMI control toolbox for use with Matlab. User's Guide. Natick, MA, USA: The Math Works Inc, 1995
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出版历程
  • 收稿日期:  2010-11-12
  • 修回日期:  2011-02-21
  • 刊出日期:  2012-06-20

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