| 基于CARIMA模型的PFC与GPC的等价性 |
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| 引用本文： | 王繁珍,陈增强,林霞,孙青林,袁著祉.基于CARIMA模型的PFC与GPC的等价性[J].东南大学学报(自然科学版),2006(Z1). |
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| 作者姓名： | 王繁珍 陈增强 林霞 孙青林 袁著祉 |
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| 作者单位： | 南开大学自动化系 南开大学自动化系 天津 |
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| 摘 要： | 建立了新型的模型预测控制方法——预测函数控制(PFC)与传统的广义预测控制(GPC)的联系.首先推导了基于含有色噪声的自回归增量滑动平均(CARIMA)模型的预测函数控制的控制律,然后通过选取不同的基函数获取PFC控制律的形式并与GPC控制律进行比较.从而证明了在一定的基函数的选取方式下,基于CARIMA模型的PFC算法和GPC算法是等价的.揭示了PFC与GPC两者之间深刻的内在联系,为PFC的工程应用提供了理论保证.
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| 关 键 词： | 模型预测控制 预测函数控制 广义预测控制 等价性 |
Equivalence study between PFC and GPC based on CARIMA model |
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| Wang Fanzhen Chen Zengqiang Lin Xia Sun Qinglin Yuan Zhuzhi.Equivalence study between PFC and GPC based on CARIMA model[J].Journal of Southeast University(Natural Science Edition),2006(Z1). |
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| Authors: | Wang Fanzhen Chen Zengqiang Lin Xia Sun Qinglin Yuan Zhuzhi |
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| Abstract: | Predictive function control(PFC) is a kind of new model predictive control method.The relationship between PFC and the traditional generalized predictive control(GPC) is built.First,the control law of predictive function control scheme designed based on the CARIMA(color auto regressive increment moving averaging) model is proposed.By using different basic functions,the formulation of PFC control scheme is developed and then compared with the GPC control scheme.It is proved that under proper selection of basic functions,CARIMA-model-based PFC scheme is equivalent to the GPC scheme.Thus the intrinsic relationship between PFC and GPC is found,and it provides a theory guarantee for the engineering application of PFC. |
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| Keywords: | model predictive control predictive function control generalized predictive control equivalence |
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