Optimal Controllers with Complex Order Derivatives

J. A. Tenreiro Machado ()
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J. A. Tenreiro Machado: Institute of Engineering of the Polytechnic of Porto

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 2, 2-12

Abstract: 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.

Keywords: Fractional calculus; Optimization; Genetic algorithms; Control (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0169-4

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