Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates
Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates
复制标题
部分未知转移率马尔可夫跳跃线性不确定系统的滑模控制
DOI：
10.1080/00207721.2012.760668
复制
发表时间：
2014-10
影响因子：
4.3
通讯作者：
Yang, Guang-Hong
中科院分区：
文献类型：
--
作者：
Zheng, Bo-Chao;Yang, Guang-Hong
In this paper, based on sliding mode control approach, the robust stabilisation problem for a class of continuous-time Markovian jump linear uncertain systems with partly unknown transition rates is investigated. The transition rate matrix under consideration covers completely known, boundary known and completely unknown elements. By making use of linear matrix inequalities technique, sufficient conditions are presented to derive the linear switching surface and guarantee the stochastic stability of sliding mode dynamics. Then a sliding mode control law is designed to drive the state trajectory of the closed-loop system to the specified linear switching surface in finite time in spite of the existing uncertainties and unknown transition rates. Finally, an example is given to verify the validity of the theoretical results.
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DOI：
10.1016/s0076-5392(08)x6039-4
发表时间：
2012-01
期刊：
--
影响因子：
--
作者：
H. Kushner
通讯作者：
H. Kushner
具有不匹配不确定性的模糊系统的鲁棒自适应滑模控制
影响因子：
11.9
作者：
Zhang, Jinhui;Shi, Peng;Xia, Yuanqing
通讯作者：
Xia, Yuanqing
DOI：
10.1109/acc.2006.1657320
发表时间：
2006-06
期刊：
2006 American Control Conference
影响因子：
--
作者：
Yuanqing Xia;S. Ge;Guo-Ping Liu;Peng Shi;D. Rees
通讯作者：
Yuanqing Xia;S. Ge;Guo-Ping Liu;Peng Shi;D. Rees
影响因子：
3.9
作者：
Y. Kao;Wei Li;Changhong Wang
通讯作者：
Y. Kao;Wei Li;Changhong Wang
影响因子：
6.8
作者：
P. Shi;Yuanqing Xia;Guoping Liu;D. Rees
通讯作者：
P. Shi;Yuanqing Xia;Guoping Liu;D. Rees