控制理论与应用
控製理論與應用
공제이론여응용
CONTROL THEORY & APPLICATIONS
2012年
8期
1031-1037
,共7页
迭代学习控制%分数阶微积分%非线性系统%收敛性%自适应
迭代學習控製%分數階微積分%非線性繫統%收斂性%自適應
질대학습공제%분수계미적분%비선성계통%수렴성%자괄응
iterative learning control%fractional calculus%nonlinear systems%convergence%adaptiveness
本文将传统的迭代学习控制时域和频域分析方法扩展到一类针对分数阶非线性系统的分数阶迭代学习控制时域分析方法.提出了一类新的分数阶迭代学习控制框架并简化了收敛条件,且证明了常增益情况下两类分数阶迭代学习控制收敛条件的等价性问题.该讨论进一步引出了如下两个结果:分数阶不确定系统的分数阶自适应迭代学习控制的可学习区域以及理想带阻型分数阶迭代学习控制的框架.上述结果均得到了仿真验证.
本文將傳統的迭代學習控製時域和頻域分析方法擴展到一類針對分數階非線性繫統的分數階迭代學習控製時域分析方法.提齣瞭一類新的分數階迭代學習控製框架併簡化瞭收斂條件,且證明瞭常增益情況下兩類分數階迭代學習控製收斂條件的等價性問題.該討論進一步引齣瞭如下兩箇結果:分數階不確定繫統的分數階自適應迭代學習控製的可學習區域以及理想帶阻型分數階迭代學習控製的框架.上述結果均得到瞭倣真驗證.
본문장전통적질대학습공제시역화빈역분석방법확전도일류침대분수계비선성계통적분수계질대학습공제시역분석방법.제출료일류신적분수계질대학습공제광가병간화료수렴조건,차증명료상증익정황하량류분수계질대학습공제수렴조건적등개성문제.해토론진일보인출료여하량개결과:분수계불학정계통적분수계자괄응질대학습공제적가학습구역이급이상대조형분수계질대학습공제적광가.상술결과균득도료방진험증.
The classical time domain and frequency domain analysis of iterative learning control (ILC) are extended to a type of time domain analysis of fractional order iterative leaming control (FOILC) for fractional order nonlinear systems.A novel FOILC scheme is proposed,which leads to simpler convergence condition.The equivalence of the above two FOILC schemes is shown for the constant learning gain cases,which leads to two further developments:the learnable domain of an adaptive FOILC for the uncertain fractional order systems,and a desirable band-stop FOILC scheme.Several examples are provided to illustrate the presented results.
