一类非完整链式系统的有限时间镇定控制

兵工学报 ›› 2010, Vol. 31 ›› Issue (12): 1663-1668.

一类非完整链式系统的有限时间镇定控制

王轶卿，李胜，陈庆伟

(南京理工大学自动化学院，江苏南京 210094)

收稿日期:2009-08-20 修回日期:2009-08-20 上线日期:2014-05-04
通讯作者: 王轶卿 E-mail:wangyiqing1112@163.com
作者简介:王轶卿(1981—)，女，讲师，博士研究生
基金资助:
国家自然科学基金（60975075/F030702）；江苏省自然科学基金（BK2008404）；教育部博士点基金资助（20070288022）

A Finite-time Stabilization Control of a Kind of Nonholonomic Chained System

WANG Yi-qing, LI Sheng, CHEN Qing-wei

(School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China)

Received:2009-08-20 Revised:2009-08-20 Online:2014-05-04
Contact: WANG Yi-qing E-mail:wangyiqing1112@163.com

摘要/Abstract

摘要： 针对一类三维非完整链式系统的有限时间镇定问题，提出了2种基于切换控制策略的有限时间镇定控制器，并给出了相应的控制器参数选择条件。分别应用齐次系统方法和终端滑模控制理论、根据系统各状态的变化并结合切换控制策略设计了上述控制器。系统各状态可在有限时间内从任意的非平衡位置收敛至平衡位置。最后，应用这2种控制器解决了三维非完整链式系统镇定问题并给出了具体的应用形式。通过仿真验证了所设计的有限时间镇定控制器的有效性。

关键词: 自动控制技术, 非线性控制, 有限时间控制, 反馈镇定, 非完整链式系统

Abstract: Aimed at the finite-time stabilization problem of the 3-dimensional nonholonomic chained system, two kinds of finite-time stabilization controllers are proposed in this paper based on the switching control strategy, and the selection conditions of the controller’s parameters are given. The proposed controllers utilize the homogeneous system approach and terminal sliding mode control theory respectively. All the states of the system can converge from any non-equilibrium state to the equilibrium in finite time. Finally, the stabilization problem of the 3-dimensional nonholonomic chained system is solved by utilizing the proposed controllers' and the explicit forms of the controllers are presented. The effectiveness of the proposed finite-time stabilization controllers is shown through simulation.

Key words: automatic control technology, nonlinear control, finite-time control, feedback stabilization, nonholonomic chained system

中图分类号:

王轶卿，李胜，陈庆伟. 一类非完整链式系统的有限时间镇定控制[J]. 兵工学报, 2010, 31(12): 1663-1668.

WANG Yi-qing, LI Sheng, CHEN Qing-wei. A Finite-time Stabilization Control of a Kind of Nonholonomic Chained System[J]. Acta Armamentarii, 2010, 31(12): 1663-1668.

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