改进的扰动LPV系统输出反馈预测控制

doi:10.16180/j.cnki.issn1007-7820.2023.01.012

电子科技 ›› 2023, Vol. 36 ›› Issue (1): 81-87.doi: 10.16180/j.cnki.issn1007-7820.2023.01.012

改进的扰动LPV系统输出反馈预测控制

王平,赵敏

上海理工大学光电信息与计算机工程学院,上海 200093

收稿日期:2022-07-08 出版日期:2023-01-15 发布日期:2023-01-17
作者简介:王平(1997-),女,硕士研究生。研究方向:非线性系统、系统鲁棒预测控制等方面。|赵敏(1979-),女,博士,讲师。研究方向:最优化控制、非线性系统、系统鲁棒预测控制等。
基金资助:
国家自然科学基金(61973219)

Improved Output Feedback Predictive Control for Perturbed LPV Systems

WANG Ping,ZHAO Min

School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China

Received:2022-07-08 Online:2023-01-15 Published:2023-01-17
Supported by:
National Natural Science Foundation of China(61973219)

摘要/Abstract

摘要：

针对一类带有有界状态干扰的多胞描述LPV系统,文中提出了一种鲁棒预测控制改进方法,并设计了保证系统渐近稳定的输出反馈控制器。为抵消有界状态干扰,该控制器考虑无扰动LPV系统,基于离线状态观测器,采用线性矩阵不等式求解预测控制无穷时域最小-最大优化问题。随后利用离线状态观测器获得扰动LPV系统与无扰动LPV系统状态的估计值之差,以确定保性能的反馈增益,从而得到使扰动LPV系统渐近稳定的最优偏移量,并将其与无扰动系统控制律组合作为最优控制律施加于实际系统。实验结果表明,运用改进的鲁棒预测控制方法能获得较好地控制性能,同时提高了系统的稳定性和解决优化问题的效率,仿真试验也验证了该算法的有效性。

关键词: LPV系统, 有界干扰, 输出反馈, LMI, 渐近稳定性, MPC, 离线方法, 鲁棒预测控制

Abstract:

An improved robust predictive control method is proposed for a class of multicellular descriptive LPV systems with bounded state disturbances, and an output feedback controller is designed to ensure the asymptotic stability of the systems. To offset the bounded state disturbance, the controller considered the undisturbed LPV system, and based on the off-line state observer, the linear matrix inequality is used to solve the minimum-maximum optimization problem in the infinite time domain of predictive control. Then the off-line state observer is adopted to obtain the difference between the estimated values of the disturbed LPV system and the undisturbed LPV system, and the feedback gain of the guaranteed performance is determined, so as to obtain the optimal offset that makes the disturbed LPV system asymptotically stable, which is combined with the undisturbed system control law as the optimal control law and applied to the actual system. The experimental results show that the improved robust predictive control method can obtain better control performance, and improve the stability of the system and the efficiency of solving optimization problems. The simulation experiments verifies the effectiveness of the proposed algorithm.

Key words: LPV system, bounded interference, output feedback, LMI, robust asymptotic stability, MPC, off-line approach, robust predictive control

中图分类号:

TP301.6

王平,赵敏. 改进的扰动LPV系统输出反馈预测控制[J]. 电子科技, 2023, 36(1): 81-87.

WANG Ping,ZHAO Min. Improved Output Feedback Predictive Control for Perturbed LPV Systems[J]. Electronic Science and Technology, 2023, 36(1): 81-87.

图/表 4

参考文献 18

[1]	Rotondo D, Nejjari F, Puig V. Robust state-feedback control of uncertain LPV systems:An LMI-based approach[J]. Journal of the Franklin Institute, 2014, 351(5):2781-2803. doi: 10.1016/j.jfranklin.2014.01.018
[2]	席裕庚. 预测控制[M]. 北京: 国防工业出版社, 2003.
	Xi Yugeng. Predictive control[M]. Beijing: National Defense Industry Press, 2003.
[3]	Zheng P, Li D, Xi Y, et al. Improved model prediction and RMPC design for LPV systems with bounded parameter changes[J]. Automatica, 2013, 49(12):3695-3699. doi: 10.1016/j.automatica.2013.09.024
[4]	Bououden S, Chadli M, Zhang L, et al. Constrained model predictive control for time-varying delay systems: Application to an active car suspension[J]. International Journal of Control, Automation and Systems, 2016, 14(1):51-58. doi: 10.1007/s12555-015-2009-4
[5]	丁宝苍. 预测控制的理论与方法[M]. 北京: 机械工业出版社, 2008.
	Ding Baocang. Theory and method of predictive control[M]. Beijing: China Machine Press, 2008.
[6]	Yang Y Q, Ding B C, Xu Z H, et al. Tube-based output feedback model predictive control of polytopic uncertain system with bounded disturbances[J]. Journal of the Franklin Institute, 2019, 356(15):7990-8011. doi: 10.1016/j.jfranklin.2019.06.010
[7]	Ding B C, Pan H G. Output feedback robust MPC with onefree control move for the linear polytopic uncertain system with bounded disturbance[J]. Automatica, 2014, 50(11):2929-2935. doi: 10.1016/j.automatica.2014.10.021
[8]	Ding B C, Pan H G. Output feedback robust model predictive control with unmeasurable model parameters and bounded disturbance[J]. Chinese Journal of Chemical Engineering, 2016, 24(10):1431-1441. doi: 10.1016/j.cjche.2016.05.041
[9]	Mayne D Q, Rakovi S V, Findeisen R, et al. Robust output feedback model predictive control of constrained linear systems: Time varying case[J]. Automatica, 2009, 45(9):2082-2087. doi: 10.1016/j.automatica.2009.05.009
[10]	Hu J C, Ding B C. One-step ahead robust MPC for LPV model with bounded disturbance[J]. European Journal of Control, 2020, 52(1):59-66. doi: 10.1016/j.ejcon.2019.09.004
[11]	Hu J C, Ding B C, Dynamic output feedback predictive control with one free control move for the Takagi-Sugeno model with bounded disturbance[J]. IEEE Transactions on Fuzzy Systems, 2019, 27(3):462-473. doi: 10.1109/TFUZZ.2018.2859905
[12]	Park J H, Kim T H, Sugie T. Output feedback model predictive control for LPV systems based on quasi-min-max algorithm[J]. Automatica, 2011, 47(9):2052-2058. doi: 10.1016/j.automatica.2011.06.015
[13]	王明昊, 刘刚, 赵鹏涛. 多胞约束LPV系统多面体不变集RMPC算法[J]. 控制与决策, 2013, 28(11):1661-1666.
	Wang Minghao, Liu Gang, Zhao Pengtao. RMPC algorithm for polytopic constrained LPV systems using polyhedral invariant sets[J]. Control and Decision, 2013, 28(11):1661-1666.
[14]	丁宝仓, 邹涛. 约束时变不确定离散系统的输出反馈预测控制综合[J]. 自动化学报, 2007, 33(1):78-83. doi: 10.1360/aas-007-0078
	Ding Baocang, Zou Tao. Synthesizing output feedback predictive control for constrained uncertain time-varying discrete systems[J]. Acta Automatica Sinica, 2007, 33(1):78-83. doi: 10.1360/aas-007-0078
[15]	赵敏. 基于离线状态观测器的LPV系统预测控制[J]. 控制工程, 2013, 20(6):1671-7848.
	Zhao Min. Predictive control strategy for LPV systems based on offline state observer[J]. Control Engineering of China, 2013, 20(6):1671-7848.
[16]	Liu S, Song Y, Wei G, et al. RMPC-based security problem for polytopic uncertain system subject to deception attacks and persistent disturbances[J]. IET Control Theory & Applications, 2017, 11(10):1611-1618. doi: 10.1049/iet-cta.2017.0153
[17]	贾自成, 赵敏. 带有界干扰的LPV系统鲁棒预测控制综合方法[J]. 电子科技, 2017, 30(10):104-107.
	Jia Zicheng, Zhao Min. A robust predictive control synthesis method for LPV systems with boundary disturbances[J]. Electronic Science and Technology, 2017, 30(10):104-107.
[18]	黄骅, 何德峰, 俞立. 基于多面体描述系统的鲁棒非线性预测控制[J]. 自动化学报, 2012, 38(12):1906-1912. doi: 10.3724/SP.J.1004.2012.01906
	Huang Hua, He Defeng, Yu Li. Robust nonlinear predictive control based on polyhedron description system[J]. Acta Automatica Sinica, 2012, 38(12):1906-1912. doi: 10.3724/SP.J.1004.2012.01906

改进的扰动LPV系统输出反馈预测控制

Improved Output Feedback Predictive Control for Perturbed LPV Systems

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

图/表 4

参考文献 18

相关文章 5

Metrics

本文评价

推荐阅读 10

[1]	郭成威,田书,刘明杭. 含氢储能的多源联合发电系统调度研究[J]. 电子科技, 2023, 36(2): 61-66.
[2]	黄玥程,童东兵. 带有丢包和时变延迟的事件触发故障滤波检测[J]. 电子科技, 2021, 34(7): 7-12.
[3]	张乐乐,苏前敏. 具有不匹配量化的非线性系统自适应滑模控制[J]. 电子科技, 2020, 33(12): 38-43.
[4]	王敏. 基于MPC8280的PCI驱动设计[J]. , 2014, 27(5): 76-.
[5]	李鹏. 基于RapidIO的双主机节点嵌入式系统互联设计[J]. , 2014, 27(4): 135-.