Fractional calculus application in control systems

Abstract

Standard control systems can be characterized by type in the s-domain; typically these types are of integer order. Some of the implications of noninteger order systems in the s-domain are explored. To accomplish this, results from the area of fractional calculus, which defines mathematics of noninteger order derivative and integration, are utilized. Fractional calculus operators, Laplace transformed differintegrals are shown to behave differently from their standard integer-order counterparts.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>