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Stability Domain Analysis for Input-Saturated Linear Systems Subject to Disturbance via Popov Criterion: An LMI Approach

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8103))

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Abstract

This paper addresses the problem of local stability analysis for linear systems subject to input saturation and persistent disturbance. The stability domain of a system under a saturated linear feedback and subject to persistent disturbance is determined by checking the invariance of a given ellipsoid via Popov criterion. The absolute stability with a finite domain is thus studied from the perspective of solving some inequalities under linear constraints. The estimation of stability domain under a known feedback controller is implemented via the use of Linear Matrix Inequalities (LMIs) and convex optimization.

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Author information

Authors and Affiliations

  1. State Key Lab of Mechanical System and Vibration, Shanghai JiaoTong University, Shanghai, 200240, P.R. China

    S. T. Zhan, W. X. Yan, Z. Fu & Yan-Zheng Zhao

  2. State Key Lab of Robotics and System (HIT), Harbin, 150001, P.R. China

    Z. Fu

Authors
  1. S. T. Zhan
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  2. W. X. Yan
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  3. Z. Fu
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  4. Yan-Zheng Zhao
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Pusan National University, South Korea

    Jangmyung Lee

  2. School of Mechanical Engineering, Pusan National University, Busan, South Korea

    Min Cheol Lee

  3. Intelligent Systems & Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, PO1 2DJ, England, UK

    Honghai Liu

  4. School of Mechanical Engineering, Biorobotics Laboratory, Korea University of Technology and Education, Gajeon-ri Byeongcheon-myeon 307, 330-708, Cheonan, Korea

    Jee-Hwan Ryu

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhan, S.T., Yan, W.X., Fu, Z., Zhao, YZ. (2013). Stability Domain Analysis for Input-Saturated Linear Systems Subject to Disturbance via Popov Criterion: An LMI Approach. In: Lee, J., Lee, M.C., Liu, H., Ryu, JH. (eds) Intelligent Robotics and Applications. ICIRA 2013. Lecture Notes in Computer Science(), vol 8103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40849-6_19

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  • DOI: https://doi.org/10.1007/978-3-642-40849-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40848-9

  • Online ISBN: 978-3-642-40849-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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