| 一类模糊双线性跳变系统的随机镇定问题 |
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| 引用本文： | 陈珺,高泽峰,刘飞.一类模糊双线性跳变系统的随机镇定问题[J].自动化学报,2013,39(5):587-593. |
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| 作者姓名： | 陈珺 高泽峰 刘飞 |
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| 作者单位： | 1.轻工过程先进控制教育部重点实验室 江南大学自动化研究所 无锡 214122 |
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| 基金项目： | 国家自然科学基金(61134007);江苏省基础研究计划(自然科学基金)(BK2012111);中央高校基本科研业务费专项资金(JUSRP111A40);高等学校学科创新引智计划(B12018);江苏高等学校优秀科技创新团队;江苏高校优势学科建设工程项目资助~~ |
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| 摘 要： | 研究了一类模糊双线性跳变系统的随机镇定问题. 采用T-S模糊建模技术来构建模糊双线性跳变模型, 然后通过并行分布补偿 (Parallel distributed compensation, PDC) 方法和选择合适的模糊隶属度函数, 将整个非线性控制器表示为一组局部线性控制器的模糊综合. 此外, 还推导出了保证闭环模糊双线性跳变系统随机稳定的充分条件, 并且这些条件最终可归结为一组线性矩阵不等式 (Linear matrix inequalities, LMIs)的可行性问题. 最后, 连续搅拌反应釜(Continuous stirred tank reactor, CSTR)系统的数值示例表明该设计方法的合理性和有效性.
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| 关 键 词： | T-S模糊双线性模型 跳变参数 随机镇定 线性矩阵不等式 连续搅拌反应釜系统 |
| 收稿时间： | 2012-5-15 |
| 修稿时间： | 2012-10-9 |
Stochastic Stabilization for a Class of Fuzzy Bilinear Jump Systems |
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| CHEN Jun,GAO Ze-Feng,LIU Fei.Stochastic Stabilization for a Class of Fuzzy Bilinear Jump Systems[J].Acta Automatica Sinica,2013,39(5):587-593. |
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| Authors: | CHEN Jun GAO Ze-Feng LIU Fei |
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| Affiliation: | 1.Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi 214122 |
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| Abstract: | This paper deals with the problem of stochastic stabilization for a class of fuzzy bilinear systems with Markovian jump parameters. The Takagi-Sugeno (T-S) fuzzy modeling technique is adopted to construct a fuzzy bilinear jump model. By means of the parallel distributed compensation (PDC) method, an overall nonlinear controller is constructed by blending a set of local linear controllers through selected membership functions. Besides, some sufficient conditions are derived to guarantee the stochastic stability of the closed-loop fuzzy bilinear jump system via linear matrix inequalities (LMIs). Finally, a numerical example for a continuously stirred tank reactor (CSTR) system is given to illustrate the validity and effectiveness of the designed procedure. |
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| Keywords: | Takagi-Sugeno (T-S) fuzzy bilinear model jump parameters stochastic stabilization linear matrix inequalities (LMIs) continuously stirred tank reactor (CSTR) system |
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