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Analytical Impulse Response of Third Generation CRONE Control

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New Trends in Nanotechnology and Fractional Calculus Applications

Abstract

The present work is dealing with the synthesis of the third generation CRONE control impulse response. The main objective of this research is to extend the application of the preshaping approach to the third generation CRONE control. Preshaping is a feedforward technique used for reducing system oscillation in motion control. Mathematical development is based essentially on the integral residue method. Analytical result puts into proof that a third generation CRONE control impulse response is decomposed into two different sub-system behaviors: oscillatory and aperiodic ones. Simulations are presented to promote this result.

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References

  1. Jallouli-Khlif R, Melchior P, Levron F, Derbel N, Oustaloup A (2008) Impulse response of third generation CRONE control. 3rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey, 05–07 November, 2008

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  2. Melchior P, Poty A, Oustaloup A (2004) Motion control by ZV shaper synthesis extended for fractional systems and its application to CRONE control. Int J Nonlinear Dynam Chaos Eng Syst 38:401–416

    MATH  Google Scholar 

  3. Oustaloup A (1995) La dérivation non entière: théorie, synthèse et applications. Editions Hermès, Paris, France. ISBN 2866014561

    Google Scholar 

  4. Oustaloup A (1999) La commande CRONE, du scalaire au multivariable. Hermès, Paris

    MATH  Google Scholar 

  5. Pao L Y, Chang T N and Hou E (1997) Input shaper designs for minimizing the expected level of residual vibration in flexible structures. American Control Conference, June 4–6, 1997, Albuquerque Convention Center, The Albuquerque Hyatt Regency and Doubletree Hotels New Mexico, USA

    Google Scholar 

  6. Poty A, Melchior P, Levron F, Orsoni B, Oustaloup A (2003) Motion control by preshaping: extension for explicit generalized derivative systems. Signals, Systems, Decision & Information Technology (SSD ’03), March 26–28, 2003, Sousse, Tunisia

    Google Scholar 

  7. Poty A, Melchior P, Levron F, Orsoni B, Oustaloup A (2003) ZV and ZVD shapers for explicit fractional derivative systems. The 11th International Conference on Advanced Robotics (ICAR 2003), June 30–July 3, 2003, Coimbra, Portugal

    Google Scholar 

  8. Singer NC, Seering WP (1990) Preshaping command inputs to reduce system vibration. J Dyn Syst Meas Control 112:76–82

    Article  Google Scholar 

  9. Singhose W, Singer N, Seering W (1995) Comparison of command shaping methods for reducing residual vibration. 3rd European Control Conference, (ECC 95), Rome, Italy, 5–8 September, 1995

    Google Scholar 

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Correspondence to Pierre Melchior .

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Jallouli-Khlif, R., Melchior, P., Levron, F., Derbel, N., Oustaloup, A. (2010). Analytical Impulse Response of Third Generation CRONE Control. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_30

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  • DOI: https://doi.org/10.1007/978-90-481-3293-5_30

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3292-8

  • Online ISBN: 978-90-481-3293-5

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