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基于拟 Broyden法的非线性系统参数优化迭代学习控制

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Indexed by:期刊论文

Date of Publication:2013-07-23

Journal:大连理工大学学报

Included Journals:PKU、ISTIC、CSCD、Scopus

Volume:53

Issue:4

Page Number:586-592

ISSN No.:1000-8608

Key Words:迭代学习控制;Broyden法;单调收敛;参数优化

Abstract:  为解决动力非线性系统跟踪控制问题,将拟Broyden法和参数优化迭代学习控制方法结合,即利用拟Broyden算法对系统雅可比矩阵进行迭代近似计算,通过参数优化对学习因子进行优化,提出了一种新的具有单调收敛特性的迭代学习控制算法。该算法不仅能够简化传统牛顿法中对系统雅可比矩阵求逆计算所带来的复杂性,而且从理论上证明了其具有单调递减的特性和全局收敛性。仿真结果表明,该算法能够精确地跟踪给定输入目标,具有实施简便和单调超线速收敛的特点。

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