| 非线性时滞系统的一种新型稳定模糊控制方案 |
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| 引用本文： | 吴忠强,刘剑鸣. 非线性时滞系统的一种新型稳定模糊控制方案[J]. 系统工程与电子技术, 2004, 26(12): 1867-1870 |
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| 作者姓名： | 吴忠强 刘剑鸣 |
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| 作者单位： | 燕山大学电气工程学院,河北,秦皇岛,066004 |
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| 摘 要： | 针对非线性时滞系统,基于模糊动态模型,采用分段Lyapunov函数法,设计出一种新型稳定模糊控制方案,克服了采用公共Lyapunov函数法的并行分配补偿法中需求解公共正定矩阵的困难。新方法只要求一系列正定矩阵满足一系列Lyapunov不等式即可,进一步扩大了解的存在性,减小了保守性。采用线性矩阵不等式法,避免了采用公共Lyapunov函数法中繁琐的Riccati方程求解。
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| 关 键 词： | 非线性系统 模糊动态模型 线性矩阵不等式 时滞系统 |
| 文章编号： | 1001-506X(2004)12-1867-04 |
| 修稿时间： | 2003-10-23 |
New kind of stable fuzzy control for nonlinear time delay system |
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| WU Zhong-qiang,LIU Jian-ming. New kind of stable fuzzy control for nonlinear time delay system[J]. System Engineering and Electronics, 2004, 26(12): 1867-1870 |
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| Authors: | WU Zhong-qiang LIU Jian-ming |
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| Abstract: | A new of stable fuzzy control scheme for nonlinear time-delay system is designed based on the piecewise Lyapunov function. The difficulty in solving a common positive matrix with the parallel distributed compensation method adopting common Lyapunov function can be overcome. In the new method it is only required that some positive matrices satisfy corrcesponding Lyapunov inequalities, the probability of solution is enlarged and the conservation is further reduced. With linear matrix inequality method, the solution to Riccati equation in common Lyapunov function is not needed any more. |
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| Keywords: | nonlinear system T-S model linear matrix inequality time-delay system |
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