| 基于T-S模型的随机双线性系统的稳定问题 |
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| 引用本文： | 张东霞,周绍生.基于T-S模型的随机双线性系统的稳定问题[J].杭州电子科技大学学报,2014(4):31-34. |
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| 作者姓名： | 张东霞 周绍生 |
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| 作者单位： | 杭州电子科技大学,浙江杭州310018 |
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| 基金项目： | 国家自然科学基金资助项目（61273093）; 国家重点基础研究“973”计划资助项目（2012CB821204）; 浙江省自然科学基金重点资助项目（LZ12F03001） |
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| 摘 要： | 主要研究了基于T-S模型的随机双线性系统的稳定性问题。首先,利用并行分布补偿方法设计控制器,确保闭环系统是随机渐近稳定的。其次,基于It^o随机稳定性理论,利用Lyapunov函数方法、不等式变换技巧和Schur补引理,证明了定理所给的稳定条件下的结论是成立的。设计方法的有效性通过一个数值例子来验证。
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| 关 键 词： | 随机双线性系统 T-S模型 大范围随机渐近稳定 |
Stability Problem for a Class of T-S Model Based Stochastic Bilinear Systems |
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| Zhang Dongxia,Zhou Shaosheng.Stability Problem for a Class of T-S Model Based Stochastic Bilinear Systems[J].Journal of Hangzhou Dianzi University,2014(4):31-34. |
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| Authors: | Zhang Dongxia Zhou Shaosheng |
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| Affiliation: | ( Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China) |
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| Abstract: | This paper considers the problems of stability for a class of T-S model based stochastic bilinear systems. Firstly, the parallel distributed compensation method is utilized to design a controller, which ensures the stochastically asymptotical stability of the closed-loop system. Secondly, based on Ito stochastic stability theory, by using Lyapunov function method, inequality transformation techniques and Schur complement lemma, the stability condition of theorem proving to the conclusion is established. Finally, a numerical example is provided to demonstrate the effectiveness of design method. |
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| Keywords: | stochastic bilinear system T-S model stochastically asymptotically stability in the large |
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