| 基于部分状态信息的模糊控制器设计 |
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| 引用本文： | 刘华平,孙富春,孙增圻,李春文.基于部分状态信息的模糊控制器设计[J].自动化学报,2004,30(6):999-1003. |
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| 作者姓名： | 刘华平 孙富春 孙增圻 李春文 |
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| 作者单位： | 1.智能技术与系统国家重点实验室,北京; |
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| 基金项目： | 教育部全国优秀博士学位论文作者专项基金(200041)
国家重点基础研究发展计划(G2002cb312205)
国家自然科学基金关键技术研究项目(90205008)
国家自然科学基金(60084002，60174018)资助~~ |
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| 摘 要： | 基于部分状态信息的控制器是一类特殊的静态输出反馈控制器,一般难以利用线性
矩阵不等式工具求解.该文研究了Takagi-Sugeno模糊模型的部分状态反馈控制问题,设计问
题可以归结为求解一组双线性矩阵不等式.通过使控制器增益由全状态反馈变化为部分状态
反馈,这类双线性矩阵不等式可以利用同伦算法求解.从而,镇定模糊部分状态反馈控制器可
以通过迭代方法得到.仿真例子验证了算法的有效性.
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| 关 键 词： | 模糊系统 部分状态反馈 双线性矩阵不等式 |
| 收稿时间： | 2003-9-9 |
Design of Fuzzy Controller Based On Partial State Information |
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| LIU Hua-Ping,SUN Fu-Chun,SUN Zeng-Qi,LI Chun-Wen.Design of Fuzzy Controller Based On Partial State Information[J].Acta Automatica Sinica,2004,30(6):999-1003. |
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| Authors: | LIU Hua-Ping SUN Fu-Chun SUN Zeng-Qi LI Chun-Wen |
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| Affiliation: | 1.State Key Lab.of Intelligent Technology and Systems,Beijing;Department of Computer Science and Technology,Tsinghua University,Beijing;Department of Automation,Tsinghua University,Beijing |
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| Abstract: | Controller using partial state information belong to a class of static output feed-back controllers,and is difficult to obtain by using linear matrix inequality.This paperconsiders a fuzzy partial-state-feedback controller design problem for the Takagi-Sugeno(T-S)fuzzy systems.The design problem can be reduced to a feasibility problem of a set ofbilinear matrix inequalities(BMIs).The objective of this paper is to propose an algorithm forsolving the resulting BMIs by using the idea of the homotopy method,where controller gainsare deformed from the fuzzy full-state-feedback matrices to the fuzzy partial-state-feedbackgains.Thus,the stabilizing fuzzy partial-state-feedback controller gains can be obtainedvia an iterative algorithm.The efficiency of the proposed algorithm is demonstrated by asimulation example. |
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| Keywords: | Fuzzy systems partial-state-feedback bilinear matrix inequalities |
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