一类模糊双线性跳变系统的随机镇定问题

陈珺; 高泽峰; 刘飞

doi:10.3724/SP.J.1004.2013.00587

一类模糊双线性跳变系统的随机镇定问题

doi: 10.3724/SP.J.1004.2013.00587

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

详细信息

通讯作者:
陈珺

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出版历程
- 收稿日期: 2012-05-15
- 修回日期: 2012-10-09
- 刊出日期: 2013-05-20

Stochastic Stabilization for a Class of Fuzzy Bilinear Jump Systems

1.
Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi 214122

摘要

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.
- 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
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.
- 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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参考文献(1)

[1]

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