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Optimal Controllers with Complex Order Derivatives

  • J. A. Tenreiro Machado
Article

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 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Dept. Electrical EngineeringInstitute of Engineering of the Polytechnic of PortoPortoPortugal

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