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Dynamic Inversion and Control of Nonlinear Systems

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Mathematics in Industrial Problems

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 16))

Abstract

In Dynamic Inversion one wishes to use the available control in order to change the differential equations in a desired way. Often there is not enough control to do “complete” inversion, and thus one is led, after performing partial inversion, to the the study of the resulting equations, called the “complimentary dynamics.” This area of activity is primarily of engineering nature, and an example will be given to a nonlinear aircraft model. The presentation of this chapter is based on a talk by Blaise Morton from Honeywell on April 1, 1988 and on the technical report [1].

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References

  1. Nonlinear flying quality parameters based on dynamic inversion, Honeywell SRC, AFWAL-TR-87-3079, October 1987.

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  2. B. Francis, A course in H Control Theory, Lecture Notes in Control and Information Sciences, # 88, Springer-Verlag, Berlin, 1987.

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  3. C. Foias and A. Tannenbaum, On the Nehari problem for a certain class of L -functions appearing in control theory, J. Funct. Anal., 74 (1987), 146–149.

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  4. M.R. Elgersma, Nonlinear Control with Applications to High Angle of Attack and VSTOL Flight, Master’s Thesis, University of Minnesota, 1986.

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  5. G. Sell, Dynamical properties of flight maneuvers, Appendix B in [1].

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© 1988 Springer-Verlag New York Inc.

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Friedman, A. (1988). Dynamic Inversion and Control of Nonlinear Systems. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and Its Applications, vol 16. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7399-9_16

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  • DOI: https://doi.org/10.1007/978-1-4615-7399-9_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7401-9

  • Online ISBN: 978-1-4615-7399-9

  • eBook Packages: Springer Book Archive

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