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

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  • 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
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    References listed on IDEAS

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    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.
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