Backstepping sliding mode control of large telescope based on friction model

Peng-fei GUO; Yong-ting DENG; Shuai WANG

doi:10.3788/OPE.20172510.2620

您当前的位置：

首页 >

文章列表页 >

Backstepping sliding mode control of large telescope based on friction model

Ground-based Large-aperture Optical Engineering | 更新时间：2020-08-13

- Backstepping sliding mode control of large telescope based on friction model
- Optics and Precision Engineering Vol. 25, Issue 10, Pages: 2620-2626(2017)
- 作者机构：
  
  中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20172510.2620
  CLC： TH743;TP273
- Received：01 June 2017，
  
  Accepted：15 July 2017，
  
  Published：25 October 2017
- 稿件说明：
移动端阅览
Peng-fei GUO, Yong-ting DENG, Shuai WANG. Backstepping sliding mode control of large telescope based on friction model[J]. Optics and precision engineering, 2017, 25(10): 2620-2626.
DOI：

Peng-fei GUO, Yong-ting DENG, Shuai WANG. Backstepping sliding mode control of large telescope based on friction model[J]. Optics and precision engineering, 2017, 25(10): 2620-2626. DOI： 10.3788/OPE.20172510.2620.

摘要

根据永磁同步电机驱动的大型望远镜转台对指向精度与低速跟踪精度的要求，设计了基于摩擦模型的反演滑模控制器。建立了基于摩擦模型与外部扰动的系统模型；然后，按照反演设计方法，设计了离控制输入最远的子系统，在设计过程中加入滑模控制，从而减小非线性摩擦因素与外部风载等对指向精度与跟踪精度的影响。通过理论仿真和实验研究验证了该方法的有效性。结果显示：所设计的反演滑模控制器具有较好的动态响应，对扰动等不确定性因素具有较强的鲁棒性，当位置阶跃指令为4.6 "时，稳态误差为0.048 51"，比传统的PI控制算法减小21.4%；当输入斜率为5（"）/s的位置斜坡指令时，稳态跟踪误差为0.031 26"，比传统的PI控制算法减小30.1%。结果表明提出的方法能够提高望远镜控制系统的指向精度和低速跟踪精度。

Abstract

According to the requirement of a large telescope driven by a permanent magnet synchronous motor(PMSM) for pointing precision and following precision

a sliding mode position controller was designed based on a friction model with backstepping approach. Firstly

the system model was established based on LuGre friction model and external disturbance. Then

a subsystem which is the furthest away from the control input was designed by inversion method. In the design process

the sliding mode control law was induced into each step of backstepping approach to attenuate the influence of nonlinearity friction and external disturbance on the pointing precision and following precision of the large telescope. The effectiveness of the proposed method was verified by theoretical simulation and experimental test. The experimental results demonstrate that the system has a good dynamic performance and is insensitive to the uncertainty factors such as disturbance. The stable pointing error is 0.048 51" when the position command is 4.6"

which decreases 21.4% than that of the traditional PI controller. The stable following error is 0.031 26" when the ramp position command 5 (")/s

which decreases 30.1% than that of the traditional PI controller. The proposed controller improves the pointing precision and following precision of large telescopes successfully.

关键词

Keywords

references

胡伟, 王莉, 张振超, 等.基于DSP的大口径天文望远镜伺服控制的设计与实现[J].微电机, 2010, 43(8): 38-40.

HU W, WANG L, ZHANG ZH CH, et al.. Design and implementation of servo control system of the large aperture telescope based on DSP[J]. Micromotors, 2010, 43(8): 38-40. (in Chinese)

KANZAWA T, TOMONO D, USUDA T, et al.. Improvement of the pointing accuracy of the Subaru telescope by suppressing vibrations[J]. SPIE, 2006, 6267: 62673J.

LEWIS H. Telescope control systems Ⅲ[J]. SPIE, 1998, 3351: 1-360.

FILGUEIRA J M, BEC M, SOTO J, et al.. GMT software and controls overview[J]. SPIE, 2012, 8451:845111.

JOHNS M. The Giant Magellan telescope (GMT)[J]. SPIE, 2008, 6986: 698603.

张敏. TMT三镜交流伺服系统的低速研究[D]. 长春: 长春光学精密机械与物理研究所, 2016. http://cdmd.cnki.com.cn/Article/CDMD-80139-1016082600.htm

ZHANG M. Research on AC Servo System of Low Speed for the TMT Tertiary Mirror System[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2016. (in Chinese)

THOMPSON P M, MACMYNOWSKI D G, SIROTA M J. Analysis of the TMT mount control system[J]. SPIE, 2008, 7012: 70121P.

DE WIT C C, OLSSON H, ASTROM K J, et al.. A new model for control of systems with friction[J]. IEEE Transactions on Automatic Control, 1995, 40(3): 419-425.

ZARCHI H A, MARKADEH G R A, SOLTANI J. Direct torque and flux regulation of synchronous reluctance motor drives based on input-output feedback linearization[J]. Energy Conversion and Management, 2010, 51(1): 71-80.

REBOUH S, KADDOURI A, ABDESSEMED R, et al.. Adaptive backstepping speed control for a permanent magnet synchronous motor[C]. Proceedings of 2011 International Conference on Management and Service, IEEE, 2011: 1-4.

KARABACAK M, ESKIKURT H I. Design, modelling and simulation of a new nonlinear and full adaptive backstepping speed tracking controller for uncertain PMSM[J]. Applied Mathematical Modelling, 2012, 36(11): 5199-5213.

KARABACAK M, ESKIKURT H I. Speed and current regulation of a permanent magnet synchronous motor via nonlinear and adaptive backstepping control[J]. Mathematical and Computer Modelling, 2011, 53(9-10): 2015-2030.

YU J P, CHEN B, YU H S, et al.. Adaptive fuzzy backstepping position tracking control for permanent magnet synchronous motor[J]. International Journal of Innovative Computing, Information and Control, 2010, 7(4): 1589-1601.

邓永停, 李洪文, 王建立, 等.基于自适应滑模控制的大型望远镜低速控制[J].中国光学, 2016, 9(6): 713-720.

DENG Y T, LI H W, WANG J L, et al.. Large telescope low speed control based on adaptive sliding mode control[J]. Chinese Optics, 2016, 9(6): 713-720. (in Chinese)

程龙, 陈娟, 陈茂胜, 等.光电跟踪系统快速捕获时间最优滑模控制技术[J].光学精密工程, 2017, 25(1): 148-154.

CHENG L, CHEN J, CHEN M SH, et al.. Fast acquisition of time optimal sliding model control technology for photoelectric tracking system[J]. Opt. Precision Eng., 2017, 25(1): 148-154. (in Chinese)

邓永停, 李洪文, 王建立, 等.基于卡尔曼滤波器的交流伺服系统自适应滑模控制[J].光学精密工程, 2014, 22(8): 2088-2095.

DENG Y T, LI H W, WANG J L, et al.. Adaptive sliding mode control for AC servo system based on Kalman filter[J]. Opt. Precision Eng., 2014, 22(8): 2088-2095. (in Chinese)

Views

786

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Attitude correction of secondary mirror in large telescope using coma and imaging point position

Servo system of harmonic drive electromechanical actuator using improved ADRC

Application of variable structure PID in velocity control for large telescope

The Study on the servo system of large telescope based on the internal model PID control method

Related Author

LI Hongzhuang

WU Xiaoxia

CHEN Tao

WANG Janli

ZHU Yi

ZHANG Jia-bao

JIA Hong-guang

DING Tong-chao

Related Institution

Changchun Institute of Optics，Fine Mechanics and Physics，Chinese Academy of Science

University of Chinese Academy of Sciences

Graduate University of Chinese Academy of Sciences

中科院长春光学精密机械与物理研究所

AI问答

Address：No.3888 Dong Nanhu Road, Changchun, Jilin, China Postal code：130033
Tel：0431-86176855 Email：gxjmgc@ciomp.ac.cn
Technical support is provided by Beijing Founder electronics co., LTD 吉ICP备11002662号-17 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰