Fractional order control or (FOC) is a field of In engineering and mathematics, control theory deals with the behaviour of dynamical systems over time. The desired output of a system is called the reference variable. When one or more output variables of a system need to show a certain behaviour over time, a controller tries to manipulate the inputs... control theory that uses the fractional order integrator as part of the control system design toolkit.

See also

• In mathematics, the differintegral is the combined differentiation/integration operator used in fractional calculus. This operator is here denoted See the page on fractional calculus for the general context. Basic formal properties Linearity rules Composition or semigroup rule Zero rule Subclass rule for a a natural number Product rule of... Differintegral
• In mathematics, fractional calculus is a branch of mathematical analysis, studying the possibility of taking real number powers of the differential operator D = d/dx and the integration operator I. By powers we refer to iteration, for example in the sense that f2(x) = f(f(x)). For example, one... Fractional calculus