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Volume 3 Issue 3
Jul.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Contents
Norelys Aguila-Camacho and Manuel A. Duarte-Mermoud, "Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 332-337, 2016.
Citation: Norelys Aguila-Camacho and Manuel A. Duarte-Mermoud, "Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 332-337, 2016.

Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws


This work was supported by CONICYT-Chile, under the Basal Financing Program (FB0809), Advanced Mining Technology Center, FONDECYT Project (1150488), Fractional Error Models in Adaptive Control and Applications, FONDECYT (3150007), and Postdoctoral Program 2015.

  • This paper presents the analysis of the control energy consumed in model reference adaptive control (MRAC) schemes using fractional adaptive laws, through simulation studies. The analysis is focused on the energy spent in the control signal represented by means of the integral of the squared control input (ISI). Also, the behavior of the integral of the squared control error (ISE) is included in the analysis.
    The orders of the adaptive laws were selected by particle swarm optimization (PSO), using an objective function including the ISI and the ISE, with different weighting factors. The results show that, when ISI index is taken into account in the optimization process to determine the orders of adaptive laws, the resulting values are fractional, indicating that control energy of the scheme might be better managed if fractional adaptive laws are used.


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