二阶非线性双曲型分布参数系统的迭代学习控制

傅勤

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (3) : 284-293.

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PDF(337 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (3) : 284-293. DOI: 10.12341/jssms12282
论文

二阶非线性双曲型分布参数系统的迭代学习控制

    傅勤
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ITERATIVE LEARNING CONTROL FOR SECOND ORDER NONLINEAR HYPERBOLIC DISTRIBUTED PARAMETER SYSTEMS

    FU Qin
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摘要

研究一类分布参数系统的迭代学习控制问题,该类分布参数系统由二阶非线性双曲型偏微分方程构成.针对系统所满足的性质.基于P型学习律构建得到迭代学习控制律,利用压缩映射原理,证明这种学习律能使得系统的输出跟踪误差于L2 空间内沿迭代轴方向收敛.数值例子说明了算法的可适用性.

Abstract

The problem f iterative learning control algorithm for a class of dis-tributed parameter systems is considered. Here, the considered distributed parameter
systems are composed of second order nonlinear hyperbolic partial differential equa- tions. According to system properties, iterative learning control laws are proposed for such nonlinear hyperbolic distributed parameter systems based on P-type learn- ing scheme. Using the contraction mapping method, it is shown that the scheme can guarantee the output tracking errors on L2 space converge along the iteration axis. A numerical example illustrates the effectiveness of the proposed method.

关键词

P型学习律 / 迭代学习控制 / 二阶双曲型分布参数系统.

Key words

P-type learning scheme, iterative learning control,second order  /   / hyperbolic distributed parameter systems.

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傅勤. 二阶非线性双曲型分布参数系统的迭代学习控制. 系统科学与数学, 2014, 34(3): 284-293. https://doi.org/10.12341/jssms12282
FU Qin. ITERATIVE LEARNING CONTROL FOR SECOND ORDER NONLINEAR HYPERBOLIC DISTRIBUTED PARAMETER SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2014, 34(3): 284-293 https://doi.org/10.12341/jssms12282
中图分类号: 93C20    93C10    68T05   
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