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Output regulation for a class of uncertain nonlinear systems with nonlinear exosystems and its application

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In this paper, we consider the global robust output regulation problem for a class of uncertain nonlinear systems with nonlinear exosystems. By employing the internal model approach, we show that this problem boils down to a global robust stabilization problem of a time-varying nonlinear system in lower triangular form, the solution of which will lead to the solution of the global robust output regulation problem. An example shows the effectiveness of the proposed approach.

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References

  1. Chen Z, Huang J. Global robust output regulation for output feedback systems. IEEE Trans Autom Control, 2005, 50(1): 117–121

    Article  Google Scholar 

  2. Serrani A, Isidori A. Global robust output regulation for a class of nonlinear systems. Syst Control Lett, 2000, 39(2): 133–139

    Article  MATH  MathSciNet  Google Scholar 

  3. Byrnes C I, Priscoli F D, Isidori A, et al. Structurally stable output regulation of nonlinear systems. Automatica, 1997, 33(3): 369–385

    Article  MATH  MathSciNet  Google Scholar 

  4. Huang J, Chen Z. A general framework for tackling the output regulation problem. IEEE Trans Autom Control, 2004, 49(12): 2203–2218

    Article  Google Scholar 

  5. Nikiforov V O. Adaptive non-linear tracking with complete compensation of unknown disturbances. Eur J Control, 1998, 4(2): 132–139

    MATH  Google Scholar 

  6. Ding Z. Output regulation of uncertain nonlinear systems with nonlinear exosystems. IEEE Trans Autom Control, 2006, 51(3): 498–503

    Article  Google Scholar 

  7. Chen Z, Huang J. Robust output regulation with nonlinear exosystems. Automatica, 2005, 41(8): 1447–1454

    Article  MATH  MathSciNet  Google Scholar 

  8. Huang J. Remarks on the robust output regulation problem for nonlinear systems. IEEE Trans Autom Control, 2001, 46(12): 2028–2031

    Article  MATH  Google Scholar 

  9. Khalil H K. Nonlinear Systems. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002

    MATH  Google Scholar 

  10. Kristic M, Kanellakopoulos I, Kokotovic P. Nonlinear and Adaptive Control Design. New York: John Wiley and Sons, 1995

    Google Scholar 

  11. Ilchmann A. Non-identifier-based High-gain Adaptive Control. Berlin: Springer-Verlag, 1993

    MATH  Google Scholar 

  12. Ye X, Huang J. Decentralized adaptive output regulation for large-scale nonlinear systems. IEEE Trans Autom Control, 2003, 48(2): 276–281

    Article  MathSciNet  Google Scholar 

  13. Rinzel J. A Formal Classification of Bursting Mechanisms in Excitable Systems. In: Teramoto E, Yamaguti M, eds. Mathematical Topics in Population Biology, Morphogenesis and Neurosciences, Lecture Notes in Biomathematics. Berlin: Springer-Verlag, 1987. 71: 267–281

    Google Scholar 

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Correspondence to Jie Huang.

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Supported by the Research Grants Council of the Hong Kong Special Administration Region (Grant No. 412408)

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Sun, W., Huang, J. Output regulation for a class of uncertain nonlinear systems with nonlinear exosystems and its application. Sci. China Ser. F-Inf. Sci. 52, 2172–2179 (2009). https://doi.org/10.1007/s11432-009-0183-9

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  • DOI: https://doi.org/10.1007/s11432-009-0183-9

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