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Electrical Engineering

, Volume 90, Issue 2, pp 107–113 | Cite as

Nonlinear observer based control of induction motors

  • Chang-Woo ParkEmail author
  • Sungryul Lee
Original Paper

Abstract

This paper presents an observer design methodology for a special class of MIMO nonlinear systems. First, we characterize the class of MIMO nonlinear systems that consists of the linear observable part and the nonlinear part with a block triangular structure. Also, the similarity transformation that plays an important role in proving the convergence of the proposed observer is generalized to MIMO systems. we have considered the nonlinearity of the system in designing the gain of the observer and then, it is prevented that the observer gain is unnecessarily increased. Moreover, by using the generalized similarity transformation, it is shown that under some observability and boundedness conditions, the proposed observer guarantees the global exponential convergence to zero of the estimation error. Finally, the simulation results for induction motor are included to illustrate the validity of our design scheme.

Keywords

Nonlinear systems State observer Triangular structure High gain observer 

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References

  1. Krener AJ, Isidori A (1983) Linearization by output injection and nonlinear observers. Syst Contr Lett 3:47–52zbMATHCrossRefMathSciNetGoogle Scholar
  2. Xia X-H, Gao W-B (1988) Non-linear observer design by observer canonical forms. Int J Contr 47:1081–1100zbMATHCrossRefMathSciNetGoogle Scholar
  3. Hou M, Pugh AC (1999) Observer with linear error dynamics for nonlinear multi-output systems. Syst Contr Lett 37:1–9zbMATHCrossRefMathSciNetGoogle Scholar
  4. Lynch AF, Bortoff SA (2001) Nonlinear observers with approximately linear error dynamics: the multivariable case. IEEE Trans Automat Contr 46(6):927–932zbMATHCrossRefMathSciNetGoogle Scholar
  5. Gauthier JP, Hammouri H, Othman S (1992) A simple observer for nonlinear systems: Application to Bioreactors. IEEE Trans Automat Contr 37(6):875–880zbMATHCrossRefMathSciNetGoogle Scholar
  6. Shim H, Son YI, Seo JH (2001) Semi-global observer for multi-output nonlinear systems. Syst Contr Lett 42:233–244CrossRefMathSciNetGoogle Scholar
  7. Busawon K, de Leon-Morales J (2000) An observer design for uniformly observable nonlinear systems. Int J Contr 73(15):1375–1381zbMATHCrossRefGoogle Scholar
  8. Busawon K, Rarza M, Hammouri H (1998) Observer design for a special class of nonlinear systems. Int J Contr 71(3):405–418zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Precision Machinery Research CenterKorea Electronics Technology Institute (KETI)Puchon-SiSouth Korea

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