全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

基于多面体描述系统的鲁棒非线性预测控制

DOI: 10.3724/SP.J.1004.2012.01906, PP. 1906-1912

Keywords: 非线性模型预测控制,多面体,输入状态实际稳定性,仿射输入

Full-Text   Cite this paper   Add to My Lib

Abstract:

?针对一类具有持续有界扰动的离散时间非线性系统,提出一种基于多面体描述系统的鲁棒非线性模型预测控制策略.首先利用泰勒级数构造多面体描述系统包裹原系统.其次,对该多面体描述系统构造鲁棒终端不变集和仿射输入型预测控制律.进一步,利用离散系统的输入状态实际稳定性(Input-to-statepracticalstability,ISpS)概念证明了闭环系统的鲁棒稳定性.最后,通过仿真验证了本结果的有效性.

References

[1]  Qin S J, Badgwell T A. A survey of industrial model predictive control technology. Control Engineering Practice, 2003, 11(7): 733-764
[2]  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
[3]  Kothare M V, Balakrishnan V, Morari M. Robust constrained model predictive control using linear matrix inequalities. Automatica, 1996, 32(10): 1361-1379
[4]  Bacic M, Cannon M, Kouvaritakis B. Constrained NMPC via state-space partitioning for input-affine non-linear systems. In: Proceedings of the 2003 American Control Conference. Denver, Colorado, United States: IEEE, 2003. 4-6
[5]  Zou Zhi-Qiang, Xu Li-Hong, Yuan Meng. A nonlinear model predictive control based on polytopic description system. Journal of Tongji University (Natural Science), 2006, 34(6): 813-817 (邹志强, 徐立鸿, 袁梦. 一种基于多面体描述系统的非线性预测控制. 同济大学学报 (自然科学版), 2006, 34(6): 813-817)
[6]  Sontag E D, Wang Y. New characterization of input-to-state stability. IEEE Transactions on Automatic Control, 1996, 38(11): 1623-1633
[7]  Magni L, Raimondo D M, Scattolini R. Regional input-to-state stability for nonlinear model predictive control. IEEE Transactions on Automatic Control, 2006, 51(9): 1548-1553
[8]  Lazar M, de la Pe?a D, Heemels W P M H, Alamo T. On input-to-state stability of min-max nonlinear model predictive control. Systems and Control Letters, 2008, 57(1): 39-48
[9]  He De-Feng, Ji Hai-Bo, Zheng Tao. Nonlinear H∞ robust predictive control with bounded persistent disturbances. Acta Automatica Sinica, 2008, 34(2): 215-219 (何德峰, 季海波, 郑涛. 持续有界扰动下的非线性H∞鲁棒预测控制. 自动化学报, 2008, 34(2): 215-219)
[10]  Magni L, de Nicolao G, Scattolini R, Allg?wer F. Robust model predictive control for nonlinear discrete-time systems. International Journal of Robust and Nonlinear Control, 2003, 13(3-4): 229-246
[11]  Chen Hong, Liu Zhi-Yuan, Xie Xiao-Hua. Nonlinear model predictive control: the state and open problems. Control and Decision, 2001, 16(4): 385-391 (陈虹, 刘志远, 解小华. 非线性模型预测控制的现状与问题. 控制与决策, 2001, 16(4): 385-391)
[12]  Ulbig A, Olaru S, Dumur D, Boucher P. Explicit nonlinear predictive control for a magnetic levitation system. Asian Journal of Control, 2010, 12(3): 434-442
[13]  Angeli D, Casavola A, Mosca E. Constrained predictive control of nonlinear plants via polytopic linear system embedding. International Journal of Robust and Nonlinear Control, 2000, 10(13): 1091-1103
[14]  Goulart P J, Kerrigan E C, Maciejowski J M. Optimization over state feedback policies for robust control with constraints. Automatica, 2006, 42(4): 523-533
[15]  B?hm C, Yu S Y, Allg?wer F. Predictive control for constrained discrete-time periodic systems using a time-varying terminal region. In: Proceedings of the 2009 Conference of Methods and Models in Automation and Robotics. Poland, 2009. 1-10
[16]  Zhao Min, Li Shao-Yuan. Dual-mode predictive control of constrained nonlinear systems via linear differential inclusion. In: Proceedings of the 26th Chinese Control Conference. Zhangjiajie, China, 2007. 26-31 (赵敏, 李少远. 基于线性微分包含的约束非线性系统双模预测控制. 第26届中国控制会议. 张家界, 中国, 2007. 26-31)
[17]  Limon D, Alamo T, Salas F, Camacho E F. Input to state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties. Automatica, 2006, 42(5): 797-803
[18]  Kouvaritakis B, Rossiter J A, Schuurmans J. Efficient robust predictive control. IEEE Transactions on Automatic Control, 2000, 45(8): 1545-1549
[19]  Kouvaritakis B, Li S, Cannon M. A line search improvement of efficient MPC. Automatica, 2010, 46(11): 1920-1924

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133