电液伺服泵的分数阶无抖振滑模控制

杨荣荣; 付永领; 王岩; 王德义; 郭建文; 张玲

doi:10.13700/j.bh.1001-5965.2015.0495

电液伺服泵的分数阶无抖振滑模控制

doi: 10.13700/j.bh.1001-5965.2015.0495

1.
北京麻豆精品秘国产传媒机械工程及自动化学院, 北京 100083
2. 北京麻豆精品秘国产传媒交通科学与工程学院, 北京 100083

基金项目:

国家自然科学基金（51375029）

详细信息

作者简介:
杨荣荣,男,博士研究生。主要研究方向:伺服电机驱动控制、电液伺服控制。Tel.:18610460288。E-mail:yr13236@163.com;付永领,男,博士,教授,博士生导师。主要研究方向:新型液压伺服系统理论与试验、集成机电液控伺服系统、特种机器人等。Tel.:010-82317307。E-mail:fuyongling@126.com

通讯作者:
付永领,Tel.:010-82317307,E-mail:fuyongling@126.com

中图分类号: TP273;TH137
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出版历程
- 收稿日期: 2015-07-23
- 网络出版日期: 2016-08-20

Free-chattering fractional order sliding mode control of integrated electro-hydraulic servo pump

1.
School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
2. School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 电液伺服泵（IEHSP）由于在结构上实现了伺服电机和液压泵共转子、共壳体高度融合，在体积、噪声和效率等方面具有明显优势，具有很好的应用前景。为了提高电液伺服泵的调速性能与抗扰能力，设计了一种新型分数阶滑模控制器（NFOSMC）。首先，由于分数阶微积分理论的引入，控制器为系统提供了更多的控制余度。然后，针对传统滑模控制中存在的抖振问题，通过设计使控制器中直接包含有切换项的分数阶积分项，利用其滤波特性可以有效滤除抖振，实现无抖振滑模控制。同时利用Lyapunov稳定性定理证明了控制器可以保证系统在存在内扰与外扰时能够在有限时间内收敛于平衡点，另外控制器中避免了含有高阶分数阶微分项，扩大了分数阶阶数的取值范围。为了进一步提高抗扰能力，设计了分数阶扰动观测器（FODOB），对系统内扰和外扰实时观测并补偿，有效提高了控制器的响应速度和刚度。最后，分别与PI控制、整数阶滑模控制器（IOSMC）和传统分数阶滑模控制器（CFOSMC）进行了仿真分析比较，结果表明该控制器能够有效改善速度跟踪性能和增强抗扰能力，消抖效果显著。
- 电液伺服泵(IEHSP) /
- 分数阶 /
- 滑模控制 /
- 无抖振 /
- 扰动观测器
Abstract: Thanks to the special structure with the same rotor and housing shared by higher degree integrated servo motor and pump, integrated electro-hydraulic servo pump (IEHSP) has significant advantages in aspects of size, noise, efficiency, etc., and it has good application prospect. To improve IEHSP's speed regulation performance and anti-disturbance ability, a novel fractional order sliding mode controller (NFOSMC) is designed. First, the controller provides the system with more degrees of freedom because of introduction of fractional order calculus. Second, aimed at chattering problem of traditional sliding mode control, it is ensured that the fractional order integral action of switching term is included directly in the proposed controller, so that free-chattering sliding control can be achieved by utilizing its filtering property. Meanwhile, the finite time convergence stability is proved via Lyapunov theorem in presence of internal and external disturbance. Besides, the range of order for fractional order is extended due to the high order fractional differential term avoidance. To further enhance the ability of anti-disturbance, fractional order disturbance observer (FODOB) is proposed for observation and compensation of internal and external disturbance, so the response speed and stiffness of the controller is enhanced effectively. By comparison with PI, counterpart integer order sliding mode controller (IOSMC) and conventional fractional order sliding mode controller (CFOSMC), the simulation results indicate that NFOSMC based on FODOB can effectively improve the performance of speed tracking and the ability of disturbance rejection, and the effect of chattering elimination is remarkable.
- integrated electro-hydraulic servo pump (IEHSP) /
- fractional order /
- sliding mode control /
- free-chattering /
- disturbance observer

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参考文献(27)

[1]	付永领,李祝锋,祁晓野,等.轴向柱塞式电液泵能量转化效率研究[J].机械工程学报,2014,50(14):204-212.FU Y L,LI Z F,QI X Y,et al.Research on the energy conversion efficiency of axial pisto electro-hydraulic pump[J].Journal of Mechanical Engineering,2014,50(14):204-212(in Chinese).
[2]	BAIK I C,KIM K H,YOUN M J.Robust nonlinear speed control of PM synchronous motor using boundary layer integral sliding mode control technique[J].IEEE Transactions on Control Systems Technology,2000,8(1):47-54.
[3]	皇甫宜耿,LAGHROUCHE S,刘卫国,等.高阶滑模消抖控制在永磁同步电动机中的应用[J].电机与控制学报,2012,16(2):7-11.HUANGFU Y G,LAGHROUCHE S,LIU W G,et al.Chattering avoidance high order sliding mode control for permanent magnet synchronous motor[J].Electric Machines and Control,2012,16(2):7-11(in Chinese).
[4]	童克文,张兴,张昱,等.基于新型趋近律的永磁同步电动机滑模变结构控制[J].中国电机工程学报,2008,28(21):102-106.TONG K W,ZHANG X,ZHANG Y,et al.Sliding mode variable structure control of permanent magnet synchronous machine based on a novel reaching law[J].Proceedings of the CSEE,2008,28(21):102-106(in Chinese).
[5]	DELAVARI H,GHADERI R,RANJBAR A,et al.Fuzzy fractional order sliding mode controller for nonlinear systems[J].Communications in Nonlinear Science & Numerical Simulation,2010,15(4):963-978.
[6]	DADRAS S,MOMENI H R.Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty[J].Communications in Nonlinear Science & Numerical Simulation,2012,17(1):367-377.
[7]	EFE M O.A fractional order adaptation law for integer order sliding mode control of a 2D OF robot[M]//BALEANU D,GUVENC Z B,MACHADO J A T.New trends in nanotechnology and fractional calculus applications.Amsterdam:Springer,2010:471-478.
[8]	CALDERÓN A J,VINAGRE B M,FELIU V,et al.Fractional order control strategies for power electronic buck converters[J].Signal Processing,2006,86(10):2803-2819.
[9]	高强,侯润民,杨国来,等.基于分数阶神经滑模的某顶置火炮调炮控制[J].兵工学报,2013,34(10):1311-1317.GAO Q,HOU R M,YANG G L,et al.Adjustment and control of a certain top-mounted gun based on a novel fractional order neural sliding mode strategy[J].Acta Armamentarii,2013,34(10):1311-1317(in Chinese).
[10]	邓立为,宋申民.基于分数阶滑模的挠性航天器姿态鲁棒跟踪控制[J].航空学报,2013,34(8):1915-1923.DENG L W,SONG S M.Flexible spacecraft attitude robust tracking control based on fractional order sliding mode[J].Acta Aeronautica et Astronautica Sinica,2013,34(8):1915-1923(in Chinese).
[11]	ZHANG B T,PI Y G,LUO Y.Fractional order sliding-mode control based on parameters auto-tuning for velocity control of permanent magnet synchronous motor[J].ISA Transactions,2012,51(5):649-656.
[12]	黄家才,施昕昕,李宏胜,等.永磁同步电机调速系统的分数阶积分滑模控制[J].吉林大学学报(工学版),2014,44(6):1736-1742.HUANG J C,SHI X X,LI H S,et al.Speed control of PMSM using fractional order integral sliding mode controller[J].Journal of Jilin University(Engineering and Technology Edition),2014,44(6):1736-1742(in Chinese).
[13]	韩松杉,焦宗夏,汪成文,等.电液飞行转台的分数阶积分滑模非线性控制[J].北京麻豆精品秘国产传媒学报,2014,40(10):1411-1416.HAN S S,JIAO Z X,WANG C W,et al.Fractional integral sliding mode nonlinear controller of electrical-hydraulic flight simulator[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(10):1411-1416(in Chinese).
[14]	陈荣,邓智泉,严仰光.基于负载观测的伺服系统抗扰研究[J].中国电机工程学报,2004,24(8):103-108.CHEN R,DENG Z Q,YAN Y G.Research on resist-disturbance performance of servosystem based on load observer[J].Proceedings of the CSEE,2004,24(8):103-108(in Chinese).
[15]	郑泽东,李永东,FADEL M,等.基于扩展Kalman滤波器的PMSM高性能控制系统[J].电工技术学报,2007,22(10):18-23.ZHENG Z D,LI Y D,FADEL M,et al.High performance PMSM control system based on extended Kalman filter[J].Transactions of China Electrotechnical Society,2007,22(10):18-23(in Chinese).
[16]	KIM H,SON J,LEE J.A high-speed sliding-mode observer for the sensorless speed control of a PMSM[J].IEEE Transactions on Industrial Electronics,2011,58(9):4069-4077.
[17]	付永领,李祝峰,薛晶,等.一种带转速反馈的永磁轴向柱塞式电液泵:ZL201320520163.3[P].2014-02-05.FU Y L,LI Z F,XUE J,et al.A kind of permanent magnet axial piston integrated electro-hydraulic pump with speed feedback:ZL201320520163.3[P].2014-02-05(in Chinese).
[18]	PONOMAREV P,POLIKARPOVA M,HEINIKAINEN O,et al.Design of integrated electro-hydraulic power unit for hybrid mobile working machines[C]//Proceedings of the 14th European Conference on Power Electronics and Applications (EPE2011).Piscataway,NJ:IEEE Press,2011:1-10.
[19]	PODLUBNY I.Fractional differential equations:An introduction to fractional derivatives,fractional differential equations,to methods of their solution and some of their applications[M].New York:Academic Press,1999:62-63.
[20]	LI C,QIAN D,CHEN Y.On Riemann-Liouville and caputo derivatives[J].Discrete Dynamics in Nature & Society,2011,15(1):309-323.
[21]	AGHABABAM P.A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems[J].Nonlinear Dynamics,2013,73(1-2):679-688.
[22]	BHAT S P,BERNSTEIN D S.Continuous finite-time stabilization of the translational and rotational double integrators[J].IEEE Transactions on Automatic Control,1998,43(5):678-682.
[23]	YANG L,YANG J.Nonsingular fast terminal sliding-mode control for nonlinear dynamical systems[J].International Journal of Robust and Nonlinear Control,2011,21(16):1865-1879.
[24]	QIAN D,LI C,AGARWAL R P,et al.Stability analysis of fractional differential system with Riemann-Liouville derivative[J].Mathematical & Computer Modelling,2010,52(5-6):862-874.
[25]	CHEN Y Q,PETRAS I,XUE D.Fractional order control-A tutorial[C]//Proceedings of the American Control Conference.Piscataway,NJ:IEEE Press,2009:1397-1411.
[26]	于艳君,柴凤,高宏伟,等.基于Anti-Windup控制器的永磁同步电机控制系统设计[J].电工技术学报,2009,24(4):66-70.YU Y J,CHAI F,GAO H W,et al.Design of PMSM system based on Anti-Windup controller[J].Transactions of China Electrotechnical Society,2009,24(4):66-70(in Chinese).
[27]	OUSTALOUP A,LEVRON F,MATHIEU B,et al.Frequency-band complex noninteger differentiator:Characterization and synthesis[J].IEEE Transactions on Circuits & Systems-I:Fundamental Theory & Applications,2000,47(1):25-39.