Adaptive Disturbance Rejection Control of Linear Time Varying System

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Computer, Informatics, Cybernetics and Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 107))

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Abstract

A novel adaptive disturbance rejection control scheme for a linear time varying (LTV) system from the perspective of differential algebraic framework is proposed. A numerical differentiator is used to obtain the derivative estimates from the system output, which contain overall dynamics of the system. Combining a local modeling technique and conventional proportional integral differential controller, the proposed control scheme perfectly accommodates disturbances and measurement noises. The convincing simulations validate the proposed control scheme well.

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References

  1. Marinescu B (2010) Output feedback pole placement for linear time-varying systems with application to the control of nonlinear systems. Automatica 46:1524–1530

    Article  MATH  Google Scholar 

  2. Huang R (2007) Output feedback tracking control of nonlinear time-varying systems by trajectory linearization. Russ college of engineering and technology. PhD Thesis, Ohio University

    Google Scholar 

  3. Marino R, Tomei P (2003) Adaptive control of linear time-varying systems. Automatica 39:651–659

    Article  MATH  MathSciNet  Google Scholar 

  4. Fliess M, Sira-Ram H (2004) Control via state estimations of some nonlinear systems. In: Proceedings 6th IFAC symposium on nonlinear control systems(NOLCOS 2004), Stuttgart,Germany

    Google Scholar 

  5. Fliess M, Join CE, Sira-Ramírez H (2008) Non-linear estimation is easy. IJMIC 4:1–6

    Article  Google Scholar 

  6. Mboup M, Join CE, Fliess M (2007) A revised look at numerical differentiation with an application to nonlinear feedback control. In: 2007 mediterranean conference on control and automation Athens, Greece

    Google Scholar 

  7. Mboup M, Join CE, Fliess M (2009) Numerical differentiation with annihilators in noisy environment. Numer Algorithms 50(4):1–27

    Article  MathSciNet  Google Scholar 

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Correspondence to Dangjun Zhao .

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© 2012 Springer Science+Business Media B.V.

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Zhao, D., Wang, Z., Wang, Y., Hu, W. (2012). Adaptive Disturbance Rejection Control of Linear Time Varying System. In: He, X., Hua, E., Lin, Y., Liu, X. (eds) Computer, Informatics, Cybernetics and Applications. Lecture Notes in Electrical Engineering, vol 107. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1839-5_81

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  • DOI: https://doi.org/10.1007/978-94-007-1839-5_81

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1838-8

  • Online ISBN: 978-94-007-1839-5

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