| 基于区间方法的模糊系统稳定性分析与设计 |
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| 引用本文： | 王岩,张庆灵.基于区间方法的模糊系统稳定性分析与设计[J].系统工程与电子技术,2003,25(4):462-465. |
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| 作者姓名： | 王岩 张庆灵 |
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| 作者单位： | 1. 东北大学理学院,辽宁,沈阳,110004;清华大学智能技术与系统国家重点实验室,北京,100084
2. 东北大学理学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家重点基础研究发展规划“973”资助课题(2002cb312200)，教育部骨干教师基金 |
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| 摘 要： | 基于区间矩阵的等价表示方法,将非线性时变的模糊控制系统稳定性分析问题转化为带有时变不确定性的线性系统鲁棒稳定性问题。首先,得到T-S模糊系统地二次稳定的充分必要条件,同时给出了控制器的实现算法。在子系统输入矩阵相同的情况下,得到了模糊系统可二次镇定的充分必要条件,进而设计出模糊控制器。仿真结果证明了此方法的有效性。
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| 关 键 词： | T-S模糊系统 区间矩阵 二次稳定 |
| 文章编号： | 1001-506X(2003)04-0462-04 |
| 修稿时间： | 2001年11月28 |
Stability Analysis and Design for a Class of Continuous-Time Fuzzy Control Systems: Interval Approach |
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| WANGYan,ZHANG Qing-ling.Stability Analysis and Design for a Class of Continuous-Time Fuzzy Control Systems: Interval Approach[J].System Engineering and Electronics,2003,25(4):462-465. |
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| Authors: | WANGYan ZHANG Qing-ling |
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| Abstract: | Based on the equivalent representation of interval matrices, the stability problem of a fuzzy control system is converted into a robust stability problem of a linear system with time-varying uncertainty. A necessary and sufficient condition for the quadratic stability of T-S fuzzy system is given, then, the controller design procedure is presented. In the case that the input matrices are identical, a necessary and sufficient condition for the quadratic stabilizability of the fuzzy system is obtained, and a fuzzy controller is derived. Simulation results show the effectiveness of the proposed method. |
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| Keywords: | T-S fuzzy system Interval matrices Quadratic stability |
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