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Robust Output Regulation: A Framework

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Stabilization and Regulation of Nonlinear Systems

Part of the book series: Advanced Textbooks in Control and Signal Processing ((C&SP))

Abstract

Having studied the stabilization problem from Chaps. 26, we now turn to the output regulation problem, or alternatively, servomechanism problem.

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References

  1. Huang J (2004) Nonlinear output regulation problem: theory and applications. SIAM, Philadelphia

    Book  Google Scholar 

  2. Davison EJ (1976) The robust control of a servomechanism problem for linear time-invariant multivariable systems. IEEE Trans Autom Control 21:25–34

    Article  MATH  MathSciNet  Google Scholar 

  3. Francis BA (1977) The linear multivariable regulator problem. SIAM J Control Optim 15:486–505

    Article  MathSciNet  Google Scholar 

  4. Francis BA, Wonham WM (1976) The internal model principle of control theory. Automatica 12:457–465

    Article  MATH  MathSciNet  Google Scholar 

  5. Desoer C, Lin CA (1985) Tracking and disturbance rejection of mimo nonlinear systems with PI controller. IEEE Trans Autom Control 30:861–867

    Article  MATH  MathSciNet  Google Scholar 

  6. Huang J, Rugh WJ (1990) On a nonlinear multivariable servomechanism problem. Automatica 26:963–972

    Article  MATH  MathSciNet  Google Scholar 

  7. Isidori A, Byrnes CI (1990) Output regulation of nonlinear systems. IEEE Trans Autom Control 35:131–140

    Article  MATH  MathSciNet  Google Scholar 

  8. Huang J (2003) On the solvability of the regulator equations for a class of nonlinear systems. IEEE Trans Autom Control 48:880–885

    Article  Google Scholar 

  9. Carr J (1981) Applications of the center manifold theory. Springer, New York

    Book  Google Scholar 

  10. Isidori A (1995) Nonlinear control systems, 3rd edn. Springer, New York

    Book  MATH  Google Scholar 

  11. Byrnes CI, Priscoli FD, Isidori A, Kang W (1997) Structurally stable output regulation of nonlinear systems. Automatica 33:369–385

    Article  MATH  Google Scholar 

  12. Huang J (1995) Asymptotic tracking and disturbance rejection in uncertain nonlinear systems. IEEE Trans Autom Control 40:1118–1122

    Article  MATH  Google Scholar 

  13. Huang J (1995) Output regulation of nonlinear systems with nonhyperbolic zero dynamics. IEEE Trans Autom Control 40:1497–1500

    Article  MATH  Google Scholar 

  14. Huang J, Lin C-F (1994) On a robust nonlinear servomechanism problem. IEEE Trans Autom Control 39:1510–1513

    Article  MATH  MathSciNet  Google Scholar 

  15. Huang J, Lin C-F (1993) Internal model principle and robust control of nonlinear systems. In: Proceedings of the 32nd IEEE conference on decision and control, pp 1501–1513

    Google Scholar 

  16. Khalil H (1994) Robust servomechanism output feedback controllers for feedback linearizable systems. Automatica 30:1587–1589

    Article  MATH  MathSciNet  Google Scholar 

  17. Priscoli FD (1993) Robust tracking for polynomial plants. In: Proceedings of the European control conference, pp 369–373

    Google Scholar 

  18. Isidori A (1997) A remark on the problem of semiglobal nonlinear output regulation. IEEE Trans Autom Control 42:1734–1738

    Article  MATH  MathSciNet  Google Scholar 

  19. Khalil H (2000) On the design of robust servomechanisms for minimum phase nonlinear systems. Int J Robust Nonlinear Control 10:339–361

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  21. Serrani A, Isidori A, Marconi L (2000) Semiglobal robust output regulation of minimum-phase nonlinear systems. Int J Robust Nonlinear Control 10:379–396

    Article  MATH  MathSciNet  Google Scholar 

  22. Serrani A, Isidori A, Marconi L (2001) Semiglobal nonlinear output regulation with adaptive internal model. IEEE Trans Autom Control 46:1178–1194

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  24. Huang J (2011) An overview of the output regulation problem. J Syst Sci Math Sci 31(9):1055–1081

    MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  27. Yang X, Huang J (2012) New results on robust output regulation of nonlinear systems with a nonlinear exosystem. Int J Robust Nonlinear Control 22:1703–1719

    Article  MATH  Google Scholar 

  28. Su Y, Huang J (2013) Cooperative robust output regulation of a class of heterogeneous linear uncertain multi-agent systems, Int J Robust Nonlinear Control, doi:10.1002/rnc.3027

  29. Marconi L, Praly L (2008) Uniform practical nonlinear output regulation. IEEE Trans Autom Control 53(5):1184–1202

    Article  MathSciNet  Google Scholar 

  30. Marconi L, Praly L, Isidori A (2007) Output stabilization via nonlinear Luenberger observers. SIAM J Control Optim 45(6):2277–2298

    Article  MATH  MathSciNet  Google Scholar 

  31. Marconi L, Praly L, Isidori A (2010) Robust asymtotic stabilization of nonlinear systems with non-hyperbolic zero dynamics. IEEE Trans Autom Control 55:907–921

    Article  MathSciNet  Google Scholar 

  32. Huang J (2004) Nonlinear output regulation problem: theory and Applications. SIAM, Philadelphia

    Google Scholar 

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Correspondence to Zhiyong Chen .

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Chen, Z., Huang, J. (2015). Robust Output Regulation: A Framework. In: Stabilization and Regulation of Nonlinear Systems. Advanced Textbooks in Control and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-08834-1_7

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  • DOI: https://doi.org/10.1007/978-3-319-08834-1_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08833-4

  • Online ISBN: 978-3-319-08834-1

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