具有输入非线性的MEMS振动陀螺零点校正方法

王伟; 赵清; 吕晓永; 李欣

doi:10.3724/SP.J.1004.2014.02171

具有输入非线性的MEMS振动陀螺零点校正方法

doi: 10.3724/SP.J.1004.2014.02171

1.
哈尔滨工程大学自动化学院哈尔滨 150001

基金项目:

中央高校基本科研业务费专项资金(HEUCFX41308), 黑龙江省博士后(LBH-TZ0410), 哈尔滨市科技创新人才专项(2013RFXXJ016),新世纪优秀人才支持计划(NCET-11-0287)资助

详细信息

作者简介:
赵清哈尔滨工程大学自动化学院硕士研究生. 2012 年获得哈尔滨工程大学自动化学院学士学位. 主要研究方向为自适应滑模控制理论及其在MEMS 陀螺仪控制中的应用.E-mail: majorzq@gmail.com

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出版历程
- 收稿日期: 2013-07-03
- 修回日期: 2014-03-05
- 刊出日期: 2014-10-20

Zero Adjustment of MEMS Vibratory Gyroscope with Nonlinear Input

1.
College of Automation, Harbin Engineering University, Harbin 150001

Funds:

Supported by Fundamental Research Funds for the Central Universities (HEUCFX41308), Heilongjiang Postdoctoral Special Foundation (LBH-TZ0410), Innovation of Science and Technology Talents in Harbin (2013RFXXJ016), and New Century Excellent Talents Support Program (NCET-11-0287)

摘要

摘要: 针对Micro-electro-mechanical system (MEMS)振动陀螺仪加工制造过程中产生的几何结构中心与质量块重心不重叠导致严重陀螺漂移和噪声的问题, 在考虑陀螺自身非线性、控制输入非线性和外部干扰的情况下, 提出一种基于超稳理论的非线性控制策略对MEMS陀螺仪进行零点校正. 该方法在MEMS 陀螺仪非线性模型中引入一Hurwitz矩阵对模型进行变换以满足系统的严格正实要求, 利用向量范数的性质得到合适的控制律以满足Popov不等式, 从而保证了闭环控制系统的全局渐近稳定性. 仿真结果显示, 提出的非线性控制策略可以使系统状态迅速收敛到零, 并且对系统参数摄动表现出较强的鲁棒性.
- MEMS陀螺仪 /
- 零点校正 /
- 超稳理论 /
- 非线性控制
Abstract: Considering the Micro-electro-mechanical system (MEMS) gyroscope nonlinearity, control input nonlinearity and external disturbance, a nonlinear control strategy based on hyperstability theory is proposed for MEMS gyroscope drifting caused by the non-superposition between the center of the geometry structure and the barycenter of the proof mass. System states can be regulated to zero level asymptotically by introducing a Hurwitz matrix to the MEMS state space model for the demand of system being strictly positive real, and choosing an appropriate control law with vector norm to satisfy the Popov integral inequality. Simulation results show the validity and robustness of the proposed nonlinear control strategy.
- MEMS gyroscope /
- zero adjustment /
- hyperstability theory /
- nonlinear control

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参考文献(24)

[1]	Li W L, Liu P X. Adaptive tracking control of an MEMS gyroscope with H-infinity performance. Journal of Control Theory and Applications, 2011, 9(2): 237-243
[2]	[2] Fast B, Miklosovic R, Radke A. Active disturbance rejection control of a MEMS gyroscope. In: Proceedings of the 2008 American Control Conference. Seattle, WA: IEEE, 2008. 3746-3750
[3]	[3] Zheng Q, Dong L L, Gao Z Q. Control and rotation rate estimation of vibrational MEMS gyroscopes. In: Proceedings of the 16th IEEE International Conference on Control Applications Part of IEEE Multi-conference on Systems and Control. Singapore: IEEE, 2007. 118-123
[4]	[4] Sung S, Sung W T, Kim C, Yun S, Lee Y J. On the mode-matched control of MEMS vibratory gyroscope via phase-domain analysis and design. IEEE/ASME Transactions on Mechatronics, 2009, 14(4): 446-455
[5]	[5] Sung W T, Sung S, Lee J Y, Kang T, Lee Y J, Lee J G. Development of a lateral velocity-controlled MEMS vibratory gyroscope and its performance test. Journal of Micromechanics and Microengineering, 2008, 18(5): ID055028, DOI: 10.1088/0960-1317/18/5/055028
[6]	Luo Bing, Wang An-Cheng, Wu Mei-Ping. A drive control scheme based on phase-control for silicon micromechanical gyroscopes. Acta Automatica Sinica, 2012, 38(2): 206-212(罗兵, 王安成, 吴美平. 基于相位控制的硅微机械陀螺驱动控制技术. 自动化学报, 2012, 38(2): 206-212)
[7]	[7] Park S, Horowitz R. Adaptive control for the conventional mode of operation of MEMS gyroscopes. Journal of Microelectromechanical Systems, 2003, 12(1): 101-108
[8]	[8] Park S, Horowitz R. New adaptive mode of operation for MEMS gyroscopes. Journal of Dynamic Systems Measurement and Control-Transactions of The ASME, 2004, 126(4): 800-810
[9]	[9] Batur C, Sreeramreddy T, Khasawneh Q. Sliding mode control of a simulated MEMS gyroscope. ISA Transactions, 2006, 45(1): 99-108
[10]	Fei J T, Xin M Y. An adaptive fuzzy sliding mode controller for MEMS triaxial gyroscope with angular velocity estimation. Nonlinear Dynamics, 2012, 70(1): 97-109
[11]	Fei J T, Zhou J. Robust adaptive control of MEMS triaxial gyroscope using fuzzy compensator. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 2012, 42(6): 1599-1607
[12]	Fei J T, Yang Y Z. Adaptive neural compensation scheme for robust tracking of MEMS gyroscope. In: Proceedings of the 2012 IEEE International Conference on Systems, Man, and Cybernetics. Seoul, Korea: IEEE, 2012. 1546-1551
[13]	Fei J T, Ding H F. Adaptive vibration control of microelectromechanical systems triaxial gyroscope using radial basis function sliding mode technique. Journal of Systems and Control Engineering, 2013, 227(2): 264-269
[14]	Mehran Z, Sahel S. A modified model reference adaptive control with application to MEMS gyroscope. Journal of Mechanical Science and Technology, 2011, 25(8): 2061-2066
[15]	Salah M H, Mclntyre M L, Dawson D M, Wagner J R, Tatlicioglu E. Sensing of the time-varying angular rate for MEMS Z-axis gyroscopes. Mechatronics, 2010, 20(6): 720-727
[16]	Mahyar F, Maysam Z P, Hassan S, Aria A. Parameter estimation and interval type-2 fuzzy sliding mode control of a z-axis MEMS gyroscope. ISA Transactions, 2013, 52(6): 900-911
[17]	Zhang Li-Jun, Yang Li-Xin, Guo Li-Dong, Sun Li-Ning. Adaptive output feedback control for piezoactuator-driven stage. Acta Automatica Sinica, 2012, 38(9): 1550-1556(张利军, 杨立新, 郭立东, 孙立宁. 压电陶瓷驱动平台自适应输出反馈控制. 自动化学报, 2012, 38(9): 1550-1556)
[18]	Zhu Sheng, Sun Ming-Xuan, Wang Xue-Jie, Li Yan-Jun, Fang Zhi-Gang. Robust repetitive control for a class of nonlinear systems with input deadzone. Acta Automatica Sinica, 2013, 39(6): 908-912(朱胜, 孙明轩, 王雪洁, 李艳君, 方志刚. 具有输入死区的非线性系统的鲁棒重复控制. 自动化学报, 2013,39(6): 908-912)
[19]	Li Jian-Xiong, Fang Yi-Ming, Shi Sheng-Li. Robust dynamic output-feedback control of hydraulic servo system with input saturation for rolling mill. Control and Decision, 2013, 28(2): 211-216(李建雄, 方一鸣, 石胜利. 具有输入饱和的轧机液压伺服系统鲁棒动态输出反馈控制. 控制与决策, 2013, 28(2): 211-216)
[20]	Popov V M. Hyperstability of Control Systems. New York: Springer-Verlag, 1973
[21]	Chang Kuo-Ming. Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances. Chaos, Solitons and Fractals, 2008, 36(2): 460-468
[22]	Wu Xiao Jing. Research on Adaptive Control for Nonlinear Systems with Input and Output Constraint Characteristics [Ph.D. dissertation], Yanshan University, China, 2012(武晓晶. 具有输入输出约束特性的非线性系统自适应控制研究 [博士学位论文], 燕山大学, 中国, 2012)
[23]	Robert N D, Antonio L. Applications of microelectromechanical systems in industrial processes and services. IEEE Transactions on Industrial Electronics, 2009, 56(4): 913-925
[24]	Liu Yu, Lu Yong-Le, Li Lei-Lei, Fang Zhen, Ren Chun-Hua, Pan Ying-Jun. Solid Vibration Gyroscope and Navigation Technology. Beijing: China Aerospace Press, 2010. 49-51(刘宇, 路永乐, 黎蕾蕾, 方针, 任春华, 潘英俊. 固态振动陀螺与导航技术. 北京: 中国宇航出版社, 2010. 49-51)