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PSO Optimal Tracking Control for State-Dependent Coefficient Nonlinear Systems

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Advance Trends in Soft Computing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 312))

Abstract

This contribution presents an infinite-horizon optimal tracking controller for nonlinear systems based on the state-dependent Riccati equation approach. The synthesized control law comes from solving the Hamilton-Jacobi-Bellman equation for state-dependent coefficient factorized (SDCF) nonlinear systems. The proposed controller minimizes a quadratic performance index, whose entries are determined by the particle swarm optimization (PSO) algorithm in order to improve the performance of the control system by fulfilling with design specifications such as bound of the control input expenditure, steady-state tracking error and rise time. The effectiveness of the proposed PSO optimal tracking controller is applied via simulation to the Van der Pol Oscillator.

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Author information

Authors and Affiliations

  1. Facultad de Ingenieria Electrica, Universidad Michoacana de San Nicolas de Hidalgo, Cd. Universitaria, Morelia, 58030, Mexico

    Fernando Ornelas-Tellez & Mario Graff

  2. Centro de Investigacion y de Estudios Avanzados del IPN, Unidad Guadalajara, Av. del Bosque 1145, Zapopan, 45019, Mexico

    Edgar N. Sanchez

  3. CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, Zapopan, 45080, Jalisco, Mexico

    Alma Y. Alanis

Authors
  1. Fernando Ornelas-Tellez
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  2. Mario Graff
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  3. Edgar N. Sanchez
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  4. Alma Y. Alanis
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Corresponding author

Correspondence to Fernando Ornelas-Tellez .

Editor information

Editors and Affiliations

  1. The University of Texas, San Antonio, Texas, USA

    Mo Jamshidi

  2. Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA

    Vladik Kreinovich

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Ornelas-Tellez, F., Graff, M., Sanchez, E.N., Alanis, A.Y. (2014). PSO Optimal Tracking Control for State-Dependent Coefficient Nonlinear Systems. In: Jamshidi, M., Kreinovich, V., Kacprzyk, J. (eds) Advance Trends in Soft Computing. Studies in Fuzziness and Soft Computing, vol 312. Springer, Cham. https://doi.org/10.1007/978-3-319-03674-8_38

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  • DOI: https://doi.org/10.1007/978-3-319-03674-8_38

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03673-1

  • Online ISBN: 978-3-319-03674-8

  • eBook Packages: EngineeringEngineering (R0)

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