IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i3p617-627.html
   My bibliography  Save this article

LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems

Author

Listed:
  • Lien, Chang-Hua
  • Yu, Ker-Wei

Abstract

This paper investigates the observer-based controls for a class of dynamic linear systems with structural parameter uncertainties. Two issues are mainly concerned with LMI optimization techniques: the first regards the robustness analysis of the observer-based control systems without disturbance inputs and the other is the H∞ control when involving disturbance inputs. A numerical example is given to illustrate the main contribution of this paper.

Suggested Citation

  • Lien, Chang-Hua & Yu, Ker-Wei, 2008. "LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 617-627.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:617-627
    DOI: 10.1016/j.chaos.2006.06.076
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906006862
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.06.076?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Park, Ju H., 2005. "Dynamic output guaranteed cost controller for neutral systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1819-1828.
    2. C. H. Lien, 2005. "Guaranteed Cost Observer–Based Controls for a Class of Uncertain Neutral Time-Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 137-156, July.
    3. Park, Ju H. & Choi, K., 2005. "Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 183-190.
    4. Kwon, O.M. & Park, Ju H., 2006. "Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 800-812.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    2. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.
    3. Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Chen, Jenq-Der, 2007. "Robust output observer-based control of neutral uncertain systems with discrete and distributed time delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1254-1264.
    5. O. M. Kwon & J. H. Park & S. M. Lee, 2008. "Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 521-532, June.
    6. Hung, Meei-Ling & Yan, Jun-Juh, 2007. "Decentralized model-reference adaptive control for a class of uncertain large-scale time-varying delayed systems with series nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1558-1568.
    7. Sun, Yeong-Jeu, 2007. "Duality between observation and output feedback for linear systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 879-884.
    8. Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    9. Chen, Jenq-Der, 2007. "Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 595-606.
    10. Qiu, Fang & Cui, Baotong & Ji, Yan, 2009. "Novel robust stability analysis for uncertain neutral system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1820-1828.
    11. O. M. Kwon & S. M. Lee & Ju H. Park, 2011. "Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 149(3), pages 630-646, June.
    12. Xiaohong Nian & Zhaomei Sun & Xia Wang, 2012. "Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 694-706, November.
    13. O. M. Kwon & J. H. Park & S. M. Lee, 2010. "An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 343-353, May.
    14. Sun, Yeong-Jeu, 2007. "Stability criterion for a class of descriptor systems with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 986-993.
    15. Yau, Her-Terng & Yan, Jun-Juh, 2009. "Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1515-1521.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:617-627. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.