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一类前馈系统的鲁棒镇定

叶华文 王红 康剑灵

叶华文, 王红, 康剑灵. 一类前馈系统的鲁棒镇定. 自动化学报, 2005, 31(4): 620-624.
引用本文: 叶华文, 王红, 康剑灵. 一类前馈系统的鲁棒镇定. 自动化学报, 2005, 31(4): 620-624.
YE Hua-Wen, WANG Hong, KANG Jian-Ling. Robust Stabilization of a Class of Feedforward Systems. ACTA AUTOMATICA SINICA, 2005, 31(4): 620-624.
Citation: YE Hua-Wen, WANG Hong, KANG Jian-Ling. Robust Stabilization of a Class of Feedforward Systems. ACTA AUTOMATICA SINICA, 2005, 31(4): 620-624.

一类前馈系统的鲁棒镇定

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    通讯作者:

    叶华文

Robust Stabilization of a Class of Feedforward Systems

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    Corresponding author: YE Hua-Wen
  • 摘要: Two kinds of saturated controllers are designed for a class of feedforward systems and the closed-loop resulted is locally input-to-state stable and input-to-state stable, respectively. By the word "locally", it is meant that there are restrictions on the amplitude of inputs. At first, under the guidance of suitable energy functions, two kinds of saturated controllers are designed as locally input-to-state stabilizers for a class of perturbed linear systems, from which explicit gain estimations can be obtained for the subsequent design. Then under the conditions that two subsystems of the feedforward system are respectively of locally input-to-state stability and input-to-state stability, the small gain theory is used to determine saturated degrees for corresponding robust stabilizers. The stability proofs are given by using a new characterization of input-to-state stability that is based on the concept of ultimate boundedness. As an application, saturated controllers are designed for the partial dynamics of a certain inverted pendulum.
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  • 收稿日期:  2004-09-20
  • 修回日期:  2004-12-28
  • 刊出日期:  2005-07-20

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