Tenreiro Machado, J. A.2019-04-042019-04-042000-09-17http://hdl.handle.net/10400.22/13404In 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 this theory. In the field 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 driscrete-time controllers. The algorithms studied adopt the time domain, which makes them suited for z-transform analysis and driscrete-time implementation.engChaos and fractalsFractional calculusconference object