| 引用本文: | 殷培强, 俞立, 郑科.基于T-S模型的非线性时滞系统非脆弱保性能模糊控制[J].控制理论与应用,2008,25(1):75~80.[点击复制] |
| YIN Pei-qiang, YU Li, ZHENG Ke.T-S model-based non-fragile guaranteed cost fuzzy control for nonlinear time-delay systems[J].Control Theory and Technology,2008,25(1):75~80.[点击复制] |
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| 基于T-S模型的非线性时滞系统非脆弱保性能模糊控制 |
| T-S model-based non-fragile guaranteed cost fuzzy control for nonlinear time-delay systems |
| 摘要点击 2175 全文点击 1130 投稿时间：2005-11-29 修订日期：2006-06-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2008.1.013 |
| 2008,25(1):75-80 |
| 中文关键词 模糊时滞系统 非脆弱控制 线性矩阵不等式 保性能控制 |
| 英文关键词 fuzzy time-delay systems non-fragile control linear matrix inequality guaranteed cost control |
| 基金项目 国家自然科学基金资助项目(60525304); 国家“863”基金资助项目(2006AA04Z178). |
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| 中文摘要 |
| 针对一类用T-S模糊模型描述的非线性时滞系统, 采用状态反馈的并行分布补偿方法, 研究其保守性较小的非脆弱保性能模糊控制问题, 使闭环系统在控制器存在加性摄动的情况下, 其闭环性能指标值低于确定的上界.利用线性矩阵不等式处理方法, 导出了非脆弱保性能模糊控制律的存在条件, 通过建立和求解一个线性矩阵不等式问题, 给出了非脆弱保性能模糊控制律的设计方法. 仿真结果表明了所提出方法的有效性. |
| 英文摘要 |
| This paper is concerned with the non-fragile guaranteed cost control problem for a class of nonlinear timedelay systems described by T-S fuzzy model. The objective is to design a more relaxed non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is asymptotically stable and the closed-loop performance is no more than a certain upper bound in the presence of the additive controller gain perturbations. A sufficient condition for the existence of such non-fragile guaranteed cost controllers is derived via the linear matrix inequality (LMI) approach. The design problem of the non-fragile guaranteed cost fuzzy controller is formulated as an LMI problem, which can be efficiently solved with the existing convex optimization techniques. Finally, the simulation results demonstrate the effectiveness of the proposed method. |