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International Conference on Intelligent Computing for Sustainable Energy and Environment

International Conference on Life System Modeling and Simulation

ICSEE 2017, LSMS 2017: Intelligent Computing, Networked Control, and Their Engineering Applications pp 525–534Cite as

Observer-Based H ∞ Output Feedback Control for Switched Systems with Sojourn Probability Method

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 762))

Abstract

This paper investigates the observer-based \( H_{\infty } \) output feedback control for a class of switched systems with time delay. Different from some existing methods, the switching rule in the considered systems is governed by the sojourn probability information (the probability of the switched system staying in one subsystem). In order to rebuild the switched systems and utilize those probability information, a set of random variables are introduced to represent the switching law of the switched systems. The expectation of the random variable is the sojourn probability of the subsystems. In such a way, new type of switched systems with random variables are built. The purpose of the addressed problem is to design the observer-based output feedback controller and to obtain sufficient conditions for the mean square stability of the system. By using a multiple Lyapunov functional method, one theorem is derived, and the controller and observer gains can be computed by solving a set of linear matrix inequalities. A simulation example is proposed to illustrate the effectiveness of the developed design method.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China (61640313), the Natural Science Foundation of Jiangsu Province of China (No. BK20161561), and partly supported by Innovation Project of JiangSu Province and Six talent peaks project in Jiangsu Province.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation Engineering, Nanjing Normal University, Nanjing, 210042, China

    Lei Wang, Juan Li, Engang Tian & Yinghui Hu

Authors
  1. Lei Wang
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  2. Juan Li
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  3. Engang Tian
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  4. Yinghui Hu
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Corresponding author

Correspondence to Engang Tian .

Editor information

Editors and Affiliations

  1. Nanjing University of Posts and Telecommunications, Nanjing, China

    Dong Yue

  2. Shanghai University , Shanghai, China

    Chen Peng

  3. Shanghai University , Shanghai, China

    Dajun Du

  4. Nanjing University of Posts and Telecommunications, Nanjing, China

    Tengfei Zhang

  5. Shanghai University , Shanghai, China

    Min Zheng

  6. Swinburne University of Technology, Melbourne, Victoria, Australia

    Qinglong Han

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© 2017 Springer Nature Singapore Pte Ltd.

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Wang, L., Li, J., Tian, E., Hu, Y. (2017). Observer-Based H ∞ Output Feedback Control for Switched Systems with Sojourn Probability Method. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_53

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  • DOI: https://doi.org/10.1007/978-981-10-6373-2_53

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6372-5

  • Online ISBN: 978-981-10-6373-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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