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非线性互联大系统的最优控制:逐次逼近法

唐功友 孙亮

唐功友, 孙亮. 非线性互联大系统的最优控制:逐次逼近法. 自动化学报, 2005, 31(2): 248-254.
引用本文: 唐功友, 孙亮. 非线性互联大系统的最优控制:逐次逼近法. 自动化学报, 2005, 31(2): 248-254.
TANG Gong-You, SUN Liang. Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach. ACTA AUTOMATICA SINICA, 2005, 31(2): 248-254.
Citation: TANG Gong-You, SUN Liang. Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach. ACTA AUTOMATICA SINICA, 2005, 31(2): 248-254.

非线性互联大系统的最优控制:逐次逼近法

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    通讯作者:

    唐功友

Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach

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    Corresponding author: TANG Gong-You
  • 摘要: The optimal control problem for nonlinear interconnected large-scale dynamic systems is considered. A successive approximation approach for designing the optimal controller is proposed with respect to quadratic performance indexes. By using the approach, the high order, coupling, nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupling TPBV problems. It is proven that the TPBV problem sequence uniformly converges to the optimal control for nonlinear interconnected large-scale systems. A suboptimal control law is obtained by using a finite iterative result of the optimal control sequence.
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出版历程
  • 收稿日期:  2003-02-24
  • 修回日期:  2004-06-29
  • 刊出日期:  2005-03-20

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