|Table of Contents|

[1] Zhuang Huixuan, Sun Qinglin, Chen Zengqiang,. Variable structure control for descriptor Markovian jumpsystems subject to partially unknown transition probabilities [J]. Journal of Southeast University (English Edition), 2018, 34 (4): 466-473. [doi:10.3969/j.issn.1003-7985.2018.04.008]
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Variable structure control for descriptor Markovian jumpsystems subject to partially unknown transition probabilities()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
34
Issue:
2018 4
Page:
466-473
Research Field:
Automation
Publishing date:
2018-12-20

Info

Title:
Variable structure control for descriptor Markovian jumpsystems subject to partially unknown transition probabilities
Author(s):
Zhuang Huixuan;  Sun Qinglin;  Chen Zengqiang
College of Artificial Intelligence, Nankai University, Tianjin 300350, China
Key Laboratory of Intelligent Robots, Nankai University, Tianjin 300350, China
Keywords:
descriptor Markovian jump systems(DMJSs);  variable structure control(VSC);  partially unknown transition probabilities(PUTPs);  stochastic admissibility
PACS:
TP273
DOI:
10.3969/j.issn.1003-7985.2018.04.008
Abstract:
The descriptor Markovian jump systems(DMJSs)with partially unknown transition probabilities(PUTPs)are studied by means of variable structure control. First, by virtue of the strictly linear matrix inequality(LMI)technique, a sufficient condition is presented, under which the DMJSs subject to PUTPs are stochastically admissible. Secondly, a novel sliding surface function based on the system state and input is constructed for DMJSs subject to PUTPs; and a dynamic sliding mode controller is synthesized, which guarantees that state trajectories will reach the pre-specified sliding surface in finite time despite uncertainties and disturbances. The results indicate that by checking the feasibility of a series of LMIs, the stochastic admissibility of the overall closed loop system is determined. Finally, the validity of the theoretical results is illustrated with the example of the direct-current motor. Furthermore, compared with the existing literature, the state convergence rate, buffeting reduction and overshoot reduction are obviously optimized.

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Memo

Memo:
Biographies: Zhuang Huixuan(1988—), male, Ph.D. candidate; Sun Qinglin(corresponding author), male, doctor, professor, sunql@nankai.edu.cn.
Foundation item: The National Natural Science Foundation of China(No.61573199).
Citation: Zhuang Huixuan, Sun Qinglin, Chen Zengqiang.Variable structure control for descriptor Markovian jump systems subject to partially unknown transition probabilities[J].Journal of Southeast University(English Edition), 2018, 34(4):466-473.DOI:10.3969/j.issn.1003-7985.2018.04.008.
Last Update: 2018-12-20