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Optimal Controllers with Complex Order Derivatives

Author

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  • J. A. Tenreiro Machado

    (Institute of Engineering of the Polytechnic of Porto)

Abstract

This paper studies the optimization of complex-order algorithms for the discrete-time control of linear and nonlinear systems. The fundamentals of fractional systems and genetic algorithms are introduced. Based on these concepts, complex-order control schemes and their implementation are evaluated in the perspective of evolutionary optimization. The results demonstrate not only that complex-order derivatives constitute a valuable alternative for deriving control algorithms, but also the feasibility of the adopted optimization strategy.

Suggested Citation

  • J. A. Tenreiro Machado, 2013. "Optimal Controllers with Complex Order Derivatives," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 2-12, January.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:1:d:10.1007_s10957-012-0169-4
    DOI: 10.1007/s10957-012-0169-4
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