动态采样输出调节: 切换自适应方法

黄亚欣,刘允刚,张纪峰

系统科学与数学 ›› 2019, Vol. 39 ›› Issue (2) : 286-297.

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系统科学与数学 ›› 2019, Vol. 39 ›› Issue (2) : 286-297. DOI: 10.12341/jssms13588
论文

动态采样输出调节: 切换自适应方法

    黄亚欣1,刘允刚1,张纪峰2,3
作者信息 +

Dynamic Sampled-Data Output Regulation: A Switching Adaptive Approach

    HUANG Yaxin1 ,LIU Yungang1 ,ZHANG Jifeng 2,3
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摘要

文章研究了自适应采样输出调节问题. 由于涉及的干扰对系统的影响显著且作用持续, 致使传统的周期采样策略不再有效, 所以文章采用了一种基于切换机制的变周期采样策略. 其特点是在大幅度降低采样频率的同时能保证反馈补偿所需的信息量, 但分析设计比较复杂和困难. 基于该切换机制和内模原理, 设计了新型的变周期动态采样控制器, 使得调节输出最终收敛到任意预先设定的零点的邻域, 同时采样周期经过有限次切换之后保持不变. 数值仿真验证了所提出的自适应采样策略的有效性.

Abstract

This paper addresses adaptive sampled-data output regulation. The disturbance concerned has a significant and persistent effect on the system involved. This makes the classical schemes inapplicable and forces us to employ a switching scheme which can essentially reduce the sampling rate while satisfy the information requirement of the feedback compensation, but is quite complex and difficult to synthesize. Based on this and by internal model principle, a new dynamic sampled-data controller with the variable sampling periods is proposed, which guarantees the regulated output to ultimately converge to an arbitrary pre-specified neighborhood of the origin while the sampling periods remain unchanged after a finite number of switchings. A numerical simulation is provided to demonstrate the effectiveness of the proposed adaptive sampled-data scheme.

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黄亚欣 , 刘允刚 , 张纪峰. 动态采样输出调节: 切换自适应方法. 系统科学与数学, 2019, 39(2): 286-297. https://doi.org/10.12341/jssms13588
HUANG Yaxin , LIU Yungang , ZHANG Jifeng. Dynamic Sampled-Data Output Regulation: A Switching Adaptive Approach. Journal of Systems Science and Mathematical Sciences, 2019, 39(2): 286-297 https://doi.org/10.12341/jssms13588
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