| 约束T-S模糊系统设计的模糊Lyapunov方法 |
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| 引用本文： | 罗艳斌,姜偕富,钟伟民. 约束T-S模糊系统设计的模糊Lyapunov方法[J]. 控制理论与应用, 2010, 27(12): 1777-1782 |
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| 作者姓名： | 罗艳斌 姜偕富 钟伟民 |
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| 作者单位： | 杭州电子科技大学,自动化学院,浙江,杭州,310018;华东理工大学,化工过程先进控制与优化重点实验室,上海,200237 |
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| 基金项目： | Supported by the National Science Foundation of China(60774058, 60904058, 60804029). |
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| 摘 要： | 通过引入模糊Lyapunov函数,研究一类执行器饱和的离散T-S模糊系统.对系统设计模糊抗积分饱和补偿器,得到系统稳定的充分条件,并扩大了系统的吸引域.这种方法避免了寻求一个满足系统所有模糊规则的公共正定矩阵P.最后,抗积分饱和补偿器增益通过迭代优化算法得到.
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| 关 键 词： | 离散Takagi-Sugeno模糊系统 模糊Lyapunov函数 模糊抗积分饱和补偿器 吸引域 |
| 收稿时间： | 2010-05-06 |
| 修稿时间： | 2010-07-24 |
A fuzzy Lyapunov approach for constrained T-S fuzzy systems design |
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| LUO Yan-bin,JIANG Xie-fu and ZHONG Wei-min. A fuzzy Lyapunov approach for constrained T-S fuzzy systems design[J]. Control Theory & Applications, 2010, 27(12): 1777-1782 |
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| Authors: | LUO Yan-bin JIANG Xie-fu ZHONG Wei-min |
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| Affiliation: | Institution of Automation, Hangzhou Dianzi University,Institution of Automation, Hangzhou Dianzi University,Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology |
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| Abstract: | A class of discrete-time T-S fuzzy systems subject to input saturation is studied by introducing a fuzzy Lyapunov function. A sufficient condition that ensures the stability at the system origin is derived; and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system. This method avoids the difficulty in seeking a common positive-definite matrix P satisfying all fuzzy rules of this system. Moreover, an iterative optimization algorithm for obtaining the anti-windup compensator gain is given. |
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| Keywords: | discrete-time Takagi-Sugeno fuzzy systems fuzzy Lyapunov function fuzzy anti-windup compensator domain of attraction |
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