Implementing Discrete-time Fractional-order Controllers | Zendy

J. A. Tenreiro Machado | Zendy

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Implementing Discrete-time Fractional-order Controllers

Author(s) -

J. A. Tenreiro Machado

Publication year - 2001

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2001.p0279

Subject(s) - computer science , fractional calculus , domain (mathematical analysis) , calculus (dental) , order (exchange) , fractal , differential (mechanical device) , discrete time and continuous time , algorithm , control (management) , mathematics , control theory (sociology) , artificial intelligence , mathematical analysis , statistics , finance , economics , medicine , dentistry , engineering , aerospace engineering

The theory of fractional calculus goes back to the beginning of the theory of differential calculus but its inherent complexity postponed the application of the associated concepts. In the last decade the progress in the areas of chaos and fractals revealed subtle relationships with the fractional calculus leading to an increasing interest in the development of the new paradigm. In the area of automatic control preliminary work has already been carried out but the proposed algorithms are restricted to the frequency domain. The paper discusses the design of fractional-order discrete-time controllers. The algorithms studied adopt the time domain, which makes them suited for z-transform analysis and discretetime implementation.

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