| Delay-dependent robust H∞ control for uncertain fuzzy hyperbolic systems with multiple delays |
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| 引用本文： | Huaguang Zhang,Qingxian Gong,Yingchun Wang. Delay-dependent robust H∞ control for uncertain fuzzy hyperbolic systems with multiple delays[J]. 自然科学进展(英文版), 2008, 18(1): 97-104 |
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| 作者姓名： | Huaguang Zhang Qingxian Gong Yingchun Wang |
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| 作者单位： | Huaguang Zhang（School of Information Science and Engineering,Northeastern University,Shenyang 110004,China） ;Qingxian Gong（School of Information Science and Engineering,Northeastern University,Shenyang 110004,China;Department of Electrical Engineering,Changchun Institute of Technology,Changchun 130012,China） ;Yingchun Wang（School of Information Science and Engineering,Northeastern University,Shenyang 110004,China） ; |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant Nos. 60534010,60572070,60774048,and 60728307),the Funds for Creative Research Groups of China (Grant No. 60521003) and the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. IRT0421). |
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| 摘 要： | The robust H∞ control problem was considered for a class of fuzzy hyperbolic model （FHM） systems with parametric uncertainties and multiple delays. First, FHM modeling method was presented for time-delay nonlinear systems. Then, by using Lyapunov-Krasovskii approaches, delay-dependent sufficient condition for the existence of a kind of state feedback controller was proposed, which was expressed as linear matrix inequalities （LMIs）. The controller can guarantee that the resulting closed-loop system is robustly asymptotically stable with a prescribed H∞ performance level for all admissible uncertainties and time-delay. Finally, a simulation example was provided to illustrate the effectiveness of the proposed approach.
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| 关 键 词： | 模糊双曲线模型 渐进线 稳定性 不等式 |
Delay-dependent robust H control for uncertain fuzzy hyperbolic systems with multiple delays |
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| Huaguang Zhang,Qingxian Gong,Yingchun Wang. Delay-dependent robust H control for uncertain fuzzy hyperbolic systems with multiple delays[J]. Progress in Natural Science, 2008, 18(1): 97-104 |
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| Authors: | Huaguang Zhang Qingxian Gong Yingchun Wang |
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| Affiliation: | a) School of Information Science and Engineering, Northeastern University, Shenyang 110004, Chinab) Department of Electrical Engineering, Changchun Institute of Technology, Changchun 130012, China |
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| Abstract: | Fuzzy hyperbolic model Robust H∞ control Asymptotical stability Linear matrix inequality Uncertain time-delay system |
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| Keywords: | Fuzzy hyperbolic model Robust H∞ control Asymptotical stability Linear matrix inequality Uncertain time-delay system |
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