高阶不确定非线性系统切换自适应镇定

满永超,刘允刚

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (6) : 661-670.

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系统科学与数学 ›› 2013, Vol. 33 ›› Issue (6) : 661-670. DOI: 10.12341/jssms12120
论文

高阶不确定非线性系统切换自适应镇定

    满永超,刘允刚
作者信息 +

ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS

    MAN Yongchao, LIU Yungang
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文章历史 +

摘要

研究了一类控制系数未知高阶不确定非线性系统的全局自适应稳定控制设计问题. 值得指出的是,更高的系统幂次和未知的控制系数显示系统容许更强的非线性和更严重的不确定性/未知性, 因而所研究的系统更具一般性.这里不是采用传统 自适应技术,而是通过灵活运用基于切换的自适应技术和增加幂积分方法, 给出了该控制
问题的结构简单且易于实现的新型切换自适应控制器. 所设计控制器保证闭环系统状态全局有界且最终趋于零.

Abstract

This paper considers the global adaptive stabilizing control design for a class of high-order uncertain nonlinear systems with unknown control coefficients. Notably, the systems under investigation are more general than those in the existing literature, since the higher system orders and the unknown control
coefficients make the systems allow stronger nonlinearities and more serious uncertainties/unknowns. By skillfully applying the method of adaptive control via switching (rather than the traditional ones), and adding a power integrator, this paper presents a novel adaptive controller via switching, which is simple and easy to implement. The involved controller guarantees that all states of the closed-loop system are globally bounded and furthermore ultimately converge to zero.

关键词

高阶非线性系统 / 未知控制系数 / 状态反馈镇定 / 基于切换的自适应控制.

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满永超,刘允刚. 高阶不确定非线性系统切换自适应镇定. 系统科学与数学, 2013, 33(6): 661-670. https://doi.org/10.12341/jssms12120
MAN Yongchao , LIU Yungang. ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2013, 33(6): 661-670 https://doi.org/10.12341/jssms12120
中图分类号: 93C10   
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