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H  ∞  Output Tracking Control for Neutral Delay System With Nonlinear Perturbations

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Advanced Intelligent Computing (ICIC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6838))

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Abstract

This paper studies the problem of H  ∞  output tracking control for neutral delay system with nonlinear perturbations. Based on a novel augmented Lyapunov functional, a sufficient condition for the existence of state-feedback controller is presented in terms of linear matrix inequality, which not only guarantees the stability of closed-loop system, but also ensure the output of the neutral system tracks the output of a given reference model in the H  ∞  sense.

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References

  1. Fridman, E., Shaked, U.: An Improved Stabilization Method For Linear Time-delay Systems. IEEE Transactions on Automatic Control 47, 1931–1937 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Gu, K., Kharitonov, V.L., Chen, J.: Stability of Time-delay Systems. Birkhauser, Boston (2003)

    Book  MATH  Google Scholar 

  3. Han, Q.L.: On Robust Stability of Neutral Systems with Time-varying Discrete Delay and Norm-bounded Uncertainty. Automatica 40, 1087–1092 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Jiang, X., Han, Q.L.: On H  ∞  Control for Linear Systems with Interval Time-varying Delay. Automatica 41, 2099–2106 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Liu, X., Zhang, H.: New Stability Criterion of Uncertain Systems with Time-varying Delay. Chaos Solitons and Fractals 26, 1343–1348 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  6. He, Y., Wang, Q.L., Lin, C., Wu, M.: Delay-range-dependent Stability for Systems with Time-varying Delay. Automatica 43, 371–376 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Zhang, X.M., Li, M.M., Wu, M., She, J.H.: Further Results on Stability and Stabilization of Linear Systems with State and Input Delays. Internatioal Journal of Systems Science 40, 1–10 (2009)

    Article  MATH  Google Scholar 

  8. Han, Q.L.: Robust Stability of Uncertain Delay-differential Systems of Neutral Type. Automatica 38, 719–723 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zhang, D., Li, Y.: H  ∞  Output Tracking Control for Neutral Systems with Time-varying Delay and Nonlinear Perturbations. Communications in Nonlinear Science and Numerical Simulation 15, 3284–3292 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. He, Y., Wu, M.: On Delay-dependent Robust Stability for Uncertain Neutral Systems. Journal of Systems Engineering and Electronics 16, 351–355 (2005)

    Google Scholar 

  11. Behtash, S.: Robust Output Tracking for Nonlinear Systems. International Journal of Control 51, 1381–1407 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  12. Elmali, H., Olgac, N.: Robust Output Tracking Control of Nonlinear MIMO Systems via Sliding Node Technique. Automatica 28, 145–151 (1992)

    Article  Google Scholar 

  13. Gu, K., Kharitonov, V.L., Chen, J.: Stability of Time-delay Systems. Birkhauser, Boston (2003)

    Book  MATH  Google Scholar 

  14. Boyd, S.P., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia (1994)

    Book  MATH  Google Scholar 

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De-Shuang Huang Yong Gan Vitoantonio Bevilacqua Juan Carlos Figueroa

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, C., Cao, H. (2011). H  ∞  Output Tracking Control for Neutral Delay System With Nonlinear Perturbations. In: Huang, DS., Gan, Y., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing. ICIC 2011. Lecture Notes in Computer Science, vol 6838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24728-6_84

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  • DOI: https://doi.org/10.1007/978-3-642-24728-6_84

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24727-9

  • Online ISBN: 978-3-642-24728-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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