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Optimal Controllers with Complex Order Derivatives

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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.

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Authors and Affiliations

  1. Dept. Electrical Engineering, Institute of Engineering of the Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

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  1. J. A. Tenreiro Machado
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Correspondence to J. A. Tenreiro Machado.

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Machado, J.A.T. Optimal Controllers with Complex Order Derivatives. J Optim Theory Appl 156, 2–12 (2013). https://doi.org/10.1007/s10957-012-0169-4

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  • DOI: https://doi.org/10.1007/s10957-012-0169-4

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