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离散线性时滞系统的次优控制:逐次逼近法

唐功友 王海红

唐功友, 王海红. 离散线性时滞系统的次优控制:逐次逼近法. 自动化学报, 2005, 31(3): 419-426.
引用本文: 唐功友, 王海红. 离散线性时滞系统的次优控制:逐次逼近法. 自动化学报, 2005, 31(3): 419-426.
TANG Gong-You, WANG Hai-Hong. Suboptimal Control for Discrete Linear Systems with Time-delay: A Successive Approximation Approach. ACTA AUTOMATICA SINICA, 2005, 31(3): 419-426.
Citation: TANG Gong-You, WANG Hai-Hong. Suboptimal Control for Discrete Linear Systems with Time-delay: A Successive Approximation Approach. ACTA AUTOMATICA SINICA, 2005, 31(3): 419-426.

离散线性时滞系统的次优控制:逐次逼近法

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    通讯作者:

    唐功友

Suboptimal Control for Discrete Linear Systems with Time-delay: A Successive Approximation Approach

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    Corresponding author: TANG Gong-You
  • 摘要: A successive approximation approach for designing optimal controllers is presented for discrete linear time-delay systems with a quadratic performance index. By using the successive approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems without time-delay and time-advance terms. The optimal control law obtained consists of an accurate feedback terms and a time-delay compensation term which is the limit of the solution sequence of the adjoint equations. By using a finite-step iteration of the time-delay compensation term of the optimal solution sequence, a suboptimal control law is obtained. Simulation examples are employed to test the validity of the proposed approach.
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出版历程
  • 收稿日期:  2003-05-14
  • 修回日期:  2004-07-16
  • 刊出日期:  2005-05-20

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