Intelligent motion control using fractional integrals and derivatives

Tenreiro Machado, J. A.

http://hdl.handle.net/10400.22/13479

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
COM_MachadoTenreiro31.pdf		636.59 KB	Adobe PDF	Download

Send Feedback

Authors

Tenreiro Machado, J. A.

Abstract(s)

The theory of fractional derivatives and integrals (FDI's) is still in a research stage but recent progresses in the area of chaos reveal promising aspects for future developments. In the field of automatic control systems some preliminary results are restricted to the frequency domain. In this paper a novel method for the FDI approximation is presented. The proposed algorithms adopt the time domain which makes them well suited for z-transform analysis and digital implementation. Based on the new concepts the paper shows that classical P, I and D actions are special cases of a more broad paradigm.