一种基于死区离散趋近律的准滑模控制

刘涛; 刘贺平

doi:10.3724/SP.J.1004.2011.00760

一种基于死区离散趋近律的准滑模控制

doi: 10.3724/SP.J.1004.2011.00760

刘涛^1,2,
刘贺平¹

1.
北京科技大学自动化学院北京 100083;
2.
北京物资学院信息学院北京 101149

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- 文章访问数: 2092
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- 被引次数: 0
出版历程
- 收稿日期: 2010-06-13
- 修回日期: 2010-12-02
- 刊出日期: 2011-06-20

Quasi-sliding-mode Control Based on Discrete Reaching Law with Dead Zone

LIU Tao^1,2,
LIU He-Ping¹

1.
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083;
2.
School of Information, Beijing Wuzi University, Beijing 101149

摘要

摘要: 针对受正弦信号干扰的不确定离散时间系统,提出一种基于死区离散趋近律的准滑模控制方法. 系统能够由任一初始状态向死区作单调趋近运动,并于有限时间到达准滑动模态区作准滑动模态运动. 准滑动模态带具有任意阶次小的特点.该方法进一步增强了系统鲁棒性,有效改善系统动态品质,减小了稳态误差.系统无控制抖振和稳态抖振产生.仿真结果表明该方法的有效性.
- 离散趋近律 /
- 死区 /
- 准滑模控制 /
- 不确定性
Abstract: A quasi-sliding-mode control design method based on discrete reaching law with dead zone is considered for discrete time systems with uncertainty which is a sinusoidal signal. The control strategy could drive the state of controlled system to the dead zone monotonously for arbitrary initial value and the quasi-sliding-mode is reached in a finite time. Quasi-sliding-mode band could be designed to be as small as arbitrary order of magnitude. At the same time, better robustness is guaranteed, dynamic quality is improved and steady-state error is reduced. Furthermore, the undesired control chattering and steady-states chattering are avoided. Simulation results show the effectiveness for the proposed method.
- Discrete reaching law /
- dead zone /
- quasi-sliding-mode control /
- uncertainty

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参考文献(1)

[1]

Dot Y, Hoft R G. Microprocessor based sliding mode controller for dc motor drives. In: Proceedings of the Industrial Application Society Annual Meeting. Washington D.C., USA: IEEE, 1980. 641-645[2] Milosavljevi#263; #268;. General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems. Automation and Remote Control, 1985, 46(3): 307-314[3] Sarpturk S Z, Istefanopulos Y, Kaynak O. On the stability of discrete-time sliding mode control systems. IEEE Transactions on Automatic Control, 1987, 32(10): 930-932[4] Furuta K. Sliding mode control of a discrete system. Systems and Control Letters, 1990, 14(2): 145-152[5] Gao W B, Wang G F, Homaifa A. Discrete-time variable structure control systems. IEEE Transactions on Industrial Electronics, 1995, 42(2): 117-122[6] Gao Wei-Bing. Variable structure control of discrete-time systems. Acta Automatica Sinica, 1995, 21(2): 154-161(高为炳. 离散时间系统的变结构控制. 自动化学报, 1995, 21(2): 154-161)[7] Bartoszewicz A. Discrete-time quasi-sliding-mode control strategies. IEEE Transactions on Industrial Electronics, 1998, 45(4): 633-637 [8] Young K D, Utkin V I, Ozguner U. A control engineer's guide to sliding mode control. IEEE Transactions on Control Systems Technology, 1999, 7(3): 328-342[9] Eun Y, Cho D D. Robustness of multivariable discrete-time variable structure control. International Journal of Control, 1999, 72(12): 1106-1115[10] Golo G, Milosavljevi#263; #268;. Robust discrete-time chattering free sliding mode control. Systems and Control Letters, 2000, 41(4): 19-28[11] Zhai Chang-Lian, Wu Zhi-Ming. Variable structure control design for uncertain discrete time systems. Acta Automatica Sinica, 2000, 26(2): 184-191(翟长连, 吴智铭. 不确定离散时间系统的变结构控制设计. 自动化学报, 2000, 26(2): 184-191)[12] Zhou De-Wen, Gao Cun-Chen, Li Zi-Qiang. Reaching law of discrete-time variable structure control system. Control and Decision, 2008, 23(3): 306-309(周德文, 高存臣, 李自强. 一种离散变结构控制趋近律. 控制与决策, 2008, 23(3): 306-309)[13] Mi Yang, Li Wen-Lin, Jing Yuan-Wei. Variable structure control for a class of discrete-time system based on power reaching law. Control and Decision, 2008, 23(6): 643-646(米阳, 李文林, 井元伟. 基于幂次趋近律的一类离散时间系统的变结构控制. 控制与决策, 2008, 23(6): 643-646)[14] Zhu Qi-Dan, Wang Tong. New variable structure control scheme for discrete-time systems. Control and Decision, 2009, 24(8): 1209-1213(朱齐丹, 汪瞳. 一种离散时间系统变结构控制的新方法. 控制与决策, 2009, 24(8): 1209-1213)[15] Qu Shao-Cheng, Wang Yong-Ji. Discrete time sliding mode control based on dynamic disturbance compensator. Control and Decision, 2004, 19(3): 311-314, 318(瞿少成, 王永骥. 基于扰动动态补偿的离散滑模变结构控制. 控制与决策, 2004, 19(3): 311-314, 318)[16] Liu Tao, Liu He-Ping, Qu Wei. Quasi-sliding-mode control based on discrete time-variant reaching law. Control and Decision, 2010, 25(5): 797-800(刘涛, 刘贺平, 屈微. 基于离散时变趋近律的准滑模控制. 控制与决策, 2010, 25(5): 797-800)[17] Song Li-Zhong, Li Huai-Shu, Yao Qiong-Hui. Discrete-time variable-structure control based on reaching law approach. Control Theory and Applications, 2008, 25(3): 525-528(宋立忠, 李槐树, 姚琼荟. 基于趋近律方法的离散时间系统变结构控制. 控制理论与应用, 2008, 25(3): 525-528)

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