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欠驱动自治水面船的全局K-指数镇定控制方法

DOI: doi:10.3969/j.issn.1006-7043.2011.04.004

Keywords: 自治水面船, 欠驱动, 光滑时变反馈, 全局指数镇定, 级联系统??

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Abstract:

针对欠驱动自治水面船的镇定控制问题,提出了一种光滑时变反馈镇定控制律.基于全局微分同胚坐标变换将欠驱动自治水面船的数学模型转化为级联形式的非线性系统,并证明了原系统的镇定问题可简化为级联子系统的镇定问题.通过在状态反馈控制律中增加指数收敛控制项,获得了具有指数收敛速率的时变光滑镇定控制律,并证明该控制律能保证原系统的全局??K??-指数稳定性.该方法克服了当前许多控制律存在非连续、不光滑、受初始条件限制或需切换的缺点.仿真结果验证了所提出控制律的有效性,试验表明控制器的超调小、收敛快,具有良好的动态性能.

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