Article ID Journal Published Year Pages File Type
720677 IFAC Proceedings Volumes 2010 6 Pages PDF
Abstract

This paper deals with the computation of rational approximations of fractional derivatives and/or integrals. All rational approximations for fractional order of 0.1, 0.2,…, 0.9 are obtained using continued fraction expansion (CFE) method. Extension of the stability boundary locus approach to control systems with a fractional order transfer function is given for the computation of stabilizing PI and PID controllers using continuous approximations of fractional orders. Numerical examples are provided to illustrate the results and to show the effect of the order of approximation on the stability region.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics