执行器饱和的分段齐次Markov跳变系统的镇定

doi:10.12068/j.issn.1005-3026.2017.04.002

东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (4): 462-466.DOI: 10.12068/j.issn.1005-3026.2017.04.002

执行器饱和的分段齐次Markov跳变系统的镇定

齐文海，李新，高宪文

(东北大学信息科学与工程学院，辽宁沈阳110819)

收稿日期:2015-12-08 修回日期:2015-12-08 出版日期:2017-04-15 发布日期:2017-04-11
通讯作者: 齐文海
作者简介:齐文海(1986-)，男，山东泰安人，东北大学博士研究生; 高宪文( 1954-) ，男，辽宁盘锦人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(61573088，61433004).

Stabilization for Piecewise Homogeneous Markov Jump Systems Subject to Actuator Saturation

QI Wen-hai， LI Xin， GAO Xian-wen

School of Information Science & Engineering， Northeastern University， Shenyang 110819， China.

Received:2015-12-08 Revised:2015-12-08 Online:2017-04-15 Published:2017-04-11
Contact: QI Wen-hai
About author:-
Supported by:
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摘要/Abstract

摘要： 研究一类带有执行器饱和的Markov跳变系统的镇定问题，转移概率是分段齐次的.首先，通过建立合适的Lyapunov泛函，运用椭球不变集估计系统均方意义的吸引域，得到由线性矩阵不等式约束的闭环系统随机稳定的充分条件.然后，通过求解凸优化问题得到状态反馈控制器增益及均方意义下吸引域的最大估计值.最后，数值算例验证了所得结论的有效性.

关键词: 执行器饱和, Markov跳变系统, 分段齐次, 线性矩阵不等式, 凸优化

Abstract: The stabilization problem was studied for a class of Markov jump linear systems subject to actuator saturation， whose transition rates are piecewise homogeneous. Firstly， by using appropriate Lyapunov functional and ellipsoidal invariant set theory， the attraction domain of system in mean square sense was estimated to get the sufficient conditions with constraints of linear matrix inequalities for the closed-loop systems. Then， a convex optimization problem was solved to get the maximum domain of attraction in mean square sense and the state feedback controller gain. Finally， the effectiveness of the results was verified by a numerical example.

Key words: actuator saturation, Markov jump systems, piecewise homogeneous, linear matrix inequalities, convex optimization

中图分类号:

TP273

齐文海，李新，高宪文. 执行器饱和的分段齐次Markov跳变系统的镇定[J]. 东北大学学报:自然科学版, 2017, 38(4): 462-466.

QI Wen-hai， LI Xin， GAO Xian-wen. Stabilization for Piecewise Homogeneous Markov Jump Systems Subject to Actuator Saturation[J]. Journal of Northeastern University Natural Science, 2017, 38(4): 462-466.

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执行器饱和的分段齐次Markov跳变系统的镇定

Stabilization for Piecewise Homogeneous Markov Jump Systems Subject to Actuator Saturation

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