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参数不确定离散广义大系统的保性能控制

沃松林 史国栋 邹云

沃松林, 史国栋, 邹云. 参数不确定离散广义大系统的保性能控制. 自动化学报, 2005, 31(5): 808-814.
引用本文: 沃松林, 史国栋, 邹云. 参数不确定离散广义大系统的保性能控制. 自动化学报, 2005, 31(5): 808-814.
WO Song-Lin, SHI Guo-Dong, ZOU Yun. Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty. ACTA AUTOMATICA SINICA, 2005, 31(5): 808-814.
Citation: WO Song-Lin, SHI Guo-Dong, ZOU Yun. Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty. ACTA AUTOMATICA SINICA, 2005, 31(5): 808-814.

参数不确定离散广义大系统的保性能控制

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    通讯作者:

    沃松林

Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty

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    Corresponding author: WO Song-Lin
  • 摘要: The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model. The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities (LMIs), and a desired state feedback controller is obtained via convex optimization. An illustrative example is given to demonstrate the effectiveness of the proposed approach.
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出版历程
  • 收稿日期:  2004-02-24
  • 修回日期:  2005-06-27
  • 刊出日期:  2005-09-20

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