Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control

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Li, Yuyuan and Lu, Jianqiu and Kou, Chunhai and Mao, Xuerong and Pan, Jiafeng (2017) Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Optimal Control Applications and Methods, 38 (5). pp. 847-859. ISSN 0143-2087 (https://doi.org/10.1002/oca.2293)

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Abstract

This paper aims to stabilize hybrid stochastic differential equations (SDEs) with norm bounded uncertainties by feedback controls based on the discrete-time observations of both state and mode. The control structure appears only in the drift part (the deterministic part) of an SDE and the controlled system will be robustly exponentially stable in mean-square. Our stabilization criteria are in terms of linear matrix inequalities (LMIs) whence the feedback controls can be designed more easily in practice. An example is given to illustrate the effectiveness of our results.

ORCID iDs

Li, Yuyuan, Lu, Jianqiu ORCID logoORCID: https://orcid.org/0000-0001-6720-2748, Kou, Chunhai, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Pan, Jiafeng ORCID logoORCID: https://orcid.org/0000-0001-5993-3209;
  • Item type:Article
    ID code:58468
    Dates:
    Date
    Event
    1 October 2017
    Published
    21 November 2016
    Published Online
    21 October 2016
    Accepted
    Notes:Copyright © 2016 John Wiley & Sons, Ltd. Li, Y., Lu, J., Kou, C., Mao, X., and Pan, J. (2017) Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control. Optim. Control Appl. Meth., 38: 847–859. doi: 10.1002/oca.2293
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:04 Nov 2016 09:33
    Last modified:11 Nov 2024 11:33
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/58468
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