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Vibration Control of Active Structures pp 118–144Cite as

Analysis and synthesis in the frequency domain

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 50))

Abstract

Consider the root locus plot of Fig.4.5. Any point s in the locus is solution of the characteristic equation 1 + gG(s)H(s) = 0. Therefore, we have

$$ \left| {gG\left( s \right)H\left( s \right)} \right| = 1 \emptyset \left( {gGH} \right) = - \pi $$

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References

  • H.W.Bode, Relations between attenuation and phase in feedback amplifier design, Bell System Technical Journal, July 1940.

    Google Scholar 

  • H.W.Bode,Network Analysis and Feedback Amplifier Design, Van Nostrand, N-Y, 1945.

    Google Scholar 

  • J.J.D’Azzo & C.H.Houpis, Feedback Control System Analysis 6 Synthesis, McGraw-Hill (Second Edition), 1966.

    Google Scholar 

  • J.J.Distefano, A.R.Stubberud, & I.J.Williams, Feedback and Control Systems, Shaum’s Outline Series, McGraw-Hill, 1967.

    Google Scholar 

  • J.C.Doyle & G.Stein, Multivariable feedback design: concepts for a Classical/Modern synthesis. IEEE Transaction on Automatic Control, Vol.AC-26, No 1, 4–16, Feb. 1981.

    Article  Google Scholar 

  • G.F. Franklin, J.D. Powell & A. Emani-Naemi, Feedback Control of Dynamic Systems, Addison-Wesley, 1986.

    MATH  Google Scholar 

  • I.M. Horowitz, Synthesis of Feedback Systems, Academic Press, 1963.

    MATH  Google Scholar 

  • G.J.KISSEL, The Bode integrals and wave front tilt control. AIAA Guidance, Navigation & Control Conference, Portland Oregon, 1990.

    Google Scholar 

  • J.M.Maciejowski, Multivariable Feedback Design, Addison-Wesley, 1989.

    MATH  Google Scholar 

  • R.E.Skelton, Model error concepts in control design, Int. J. of Control, Vol.49, No 5, 1725–1753, 1989.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering and Robotics, Université Libre de Bruxelles, Belgium

    André Preumont

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  1. André Preumont
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© 1997 Springer Science+Business Media Dordrecht

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Preumont, A. (1997). Analysis and synthesis in the frequency domain. In: Vibration Control of Active Structures. Solid Mechanics and Its Applications, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5654-7_7

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  • DOI: https://doi.org/10.1007/978-94-011-5654-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6385-2

  • Online ISBN: 978-94-011-5654-7

  • eBook Packages: Springer Book Archive

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