非线性系统有限时间受限控制

王继强,胡忠志,YUE Hong,DIMIROVSKI Georgi

系统科学与数学 ›› 2017, Vol. 37 ›› Issue (4) : 978-985.

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PDF(433 KB)
系统科学与数学 ›› 2017, Vol. 37 ›› Issue (4) : 978-985. DOI: 10.12341/jssms13134
论文

非线性系统有限时间受限控制

    王继强1,胡忠志1,YUE Hong2 ,DIMIROVSKI Georgi3
作者信息 +

Restricted Finite Time Control of Nonlinear Systems

    WANG Jiqiang1, HU Zhongzhi1 , YUE Hong 2, DIMIROVSKI Georgi3
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文章历史 +

摘要

任何实际的系统均受到不同形式的限制,例如状态受限、输入饱和等.还有一种限制是传感器或执行机构数量的不足.文章主要研究了传感器和执行机构数量不足情况下的非线性系统有限时间控制问题.针对这类问题获得了有限时间镇定控制的设计方法,并讨论了相应的控制器的实施问题.通过对某Lorenz混沌系统的仿真应用模拟,验证了所提出设计方法的可行有效.

Abstract

Any realistic system is restricted in one form or another. One of the restrictions is the lack of sensors and actuators. This paper addresses the problem of restricted control of nonlinear systems with a finite time approach. Important results are obtained on the design of controllers for stabilizing nonlinear systems in a finite time. Practical issues on control implementation are also discussed. The proposed design method is validated through its application to a Lorenz chaotic system.

关键词

混沌控制 / 有限时间镇定 / 受限控制.

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王继强 , 胡忠志 , YUE Hong , DIMIROVSKI Georgi. 非线性系统有限时间受限控制. 系统科学与数学, 2017, 37(4): 978-985. https://doi.org/10.12341/jssms13134
WANG Jiqiang , HU Zhongzhi , YUE Hong , DIMIROVSKI Georgi. Restricted Finite Time Control of Nonlinear Systems. Journal of Systems Science and Mathematical Sciences, 2017, 37(4): 978-985 https://doi.org/10.12341/jssms13134
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