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Solution of Differential Flat Systems Using Variational Calculus

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Transactions on Engineering Technologies (IMECS 2016)

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Abstract

The purpose of this communication is to investigate the applicability of Variational Calculus to the optimization of the operation of differentially flat systems. After introducing characteristic properties of differentially flat systems, the applicability of variational calculus to the optimization of flat output trajectories is displayed. Three illustrative examples are also presented.

The original version of this chapter was revised. An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-981-10-3950-8_12

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-981-10-3950-8_12

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References

  1. M. Fliess, J. Lévine, P. Martin, P. Rouchon, Flatness and defect of non-linear systems: theory and examples. Int. J. Control 61 (6), 1327–1361 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  2. W.C. Lu, L. Duan, F. Mora-Camino, K. Achaibou, Flight mechanics and differential flatness, in Dincon 04, Proceeding of Dynamics and Control Conference, Ilha Solteira (2004), pp. 830–839

    Google Scholar 

  3. A. Drouin, S. Simões Cunha, A.C. Brandão Ramos, F. Mora Camino, Differential flatness and control of nonlinear systems, in 30th Chinese Control Conference, Yantai (2011)

    Google Scholar 

  4. A.F. Gomèz Becerna, V.H. Olivares Peregrino, A. Blanco Ortega, J. Linarès Flores,Optimal controller and controller based on differential flatness in a linear guide system: a performance comparison of indexes, in Mathematical Problems in Enginnering, Wenguang Yu, vol. 2015 (2015)

    Google Scholar 

  5. K. Louadj, B. Panomruttanarug, A.C. Brandão Ramos, F. Mora-Camino, Trajectory optimization for differential flat systems, in Proceedings of the International Multiconference of Engineers and Computer Scientists 2016, IMECS 2016, Hong Kong, 16–18 Mar 2016. Lecture Notes in Engineering and Computer Science, pp. 225–228

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Author information

Authors and Affiliations

  1. MAIAA-ENAC, 31055, Toulouse, France

    Kahina Louadj

  2. Laboratoire d’Informatique, de Mathématiques, et de Physique pour l’Agriculture et les Forêts (LIMPAF), Bouira, Algeria

    Kahina Louadj

  3. Department of Control Systems and Instrumentation Engeneering Thonburi (KMUTT), King Mongkuts University of Technology, Bangkok, Thailand

    Benjamas Panomruttanarug

  4. Mathematical and Computer Science Institute, Federal University of Itajuba (UNIFEI), 37500-900, Itajuba, Brazil

    Alexandre Carlos Brandão Ramos

  5. Laboratoire ENAC, Ecole Nationale de l’Aviation Civile, Toulouse, France

    Felix Mora-Camino

Authors
  1. Kahina Louadj
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  2. Benjamas Panomruttanarug
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  3. Alexandre Carlos Brandão Ramos
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  4. Felix Mora-Camino
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Corresponding author

Correspondence to Kahina Louadj .

Editor information

Editors and Affiliations

  1. IAENG Secretariat, International Association of Engineers, Hong Kong, Hong Kong

    Sio-Iong Ao

  2. Engineering College, Catholic University of DaeGu Engineering College, DaeGu, Korea (Republic of)

    Haeng Kon Kim

  3. Rm 6C63, Faculty of Ed Sci Tech, University of Canberra Rm 6C63, Faculty of Ed Sci Tech, Canberra, Aust Capital Terr, Australia

    Xu Huang

  4. Instituto Tecnologico de Tijuana, Tijuana, Mexico

    Oscar Castillo

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© 2017 Springer Nature Singapore Pte Ltd.

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Louadj, K., Panomruttanarug, B., Brandão Ramos, A.C., Mora-Camino, F. (2017). Solution of Differential Flat Systems Using Variational Calculus. In: Ao, SI., Kim, H., Huang, X., Castillo, O. (eds) Transactions on Engineering Technologies. IMECS 2016. Springer, Singapore. https://doi.org/10.1007/978-981-10-3950-8_2

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  • DOI: https://doi.org/10.1007/978-981-10-3950-8_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3949-2

  • Online ISBN: 978-981-10-3950-8

  • eBook Packages: EngineeringEngineering (R0)

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