| 一类前馈系统的鲁棒镇定 |
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| 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. |
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| 作者姓名： | 叶华文 王红 康剑灵 |
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| 作者单位： | 1.College of Automation, Northwestern Polytechnical University, Xi'an 710072 |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofP.R.China(60404011)andthefundforYouthInnovationofNorthwesternPolytechnicalUniversity |
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| 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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| 关 键 词： | Input-to-state stability input-to-state stability with restrictions on inputs small gain theory saturated control |
| 收稿时间： | 2004-09-20 |
| 修稿时间： | 2004-09-20 |
Robust Stabilization of a Class of Feedforward Systems |
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| YE Hua-Wen, WANG Hong, KANG Jian-Ling. Robust Stabilization of a Class of Feedforward Systems. ACTA AUTOMATICA SINICA, 2005, 31(4): 620-624. |
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| Authors: | YE Hua-Wen WANG Hong KANG Jian-Ling |
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| Affiliation: | 1. College of Automation, Northwestern Polytechnical University, Xi'an 710072 |
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| Abstract: | 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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| Keywords: | Input-to-state stability input-to-state stability with restrictions on inputs small gaintheory saturated control |
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