一类随机上三角非线性系统的全局渐近输出反馈镇定

张艺凡,刘亮

系统科学与数学 ›› 2017, Vol. 37 ›› Issue (2) : 338-346.

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PDF(397 KB)
系统科学与数学 ›› 2017, Vol. 37 ›› Issue (2) : 338-346. DOI: 10.12341/jssms13066
论文

一类随机上三角非线性系统的全局渐近输出反馈镇定

    张艺凡1,刘亮2
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Global Asymptotic Output-Feedback Stabilization for a Class of Stochastic Upper-Triangular Nonlinear Systems

    ZHANG Yifan1 ,LIU Liang2
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摘要

研究了一类随机上三角非线性系统的输出反馈镇定问题. 通过使用齐次占优方法和构造可实现的齐次降阶观测器, 一个输出反馈控制器被设计出来使得闭环系统的平衡点在原点是依概率全局渐近稳定的, 并且输出可以被几乎处处调节到原点. 数值算例验证了所提方案的有效性.

Abstract

This paper deals with the output-feedback stabilization problem for a class of stochastic upper-triangular nonlinear systems. By using the homogeneous domination approach and constructing an implementable homogeneous reduced-order observer, an output-feedback controller is designed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. A numerical example is given to demonstrate the effectiveness of the proposed scheme.

关键词

随机上三角非线性系统 / 齐次占优方法 / 降阶观测器.

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张艺凡 , 刘亮. 一类随机上三角非线性系统的全局渐近输出反馈镇定. 系统科学与数学, 2017, 37(2): 338-346. https://doi.org/10.12341/jssms13066
ZHANG Yifan , LIU Liang. Global Asymptotic Output-Feedback Stabilization for a Class of Stochastic Upper-Triangular Nonlinear Systems. Journal of Systems Science and Mathematical Sciences, 2017, 37(2): 338-346 https://doi.org/10.12341/jssms13066
中图分类号: 93E03    93E15   
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