Using the Fractional Differential Equation for the Control of Objects with Delay

This paper proposes a new structure and substantiates the choice of technique for controller design using fractional integration differentiation. The method is based on extrapolation series integrating differentiating links, time constant which changes symmetrically from one step to another. does not contain three traditional links (proportional, integrating, differentiating) but contains six are incomplete integration, differentiation, redundant (for example, half) integration. proposed consists modeling with indicated paths numerical optimization calculate coefficients each such path. Alternative controllers known PID PI?Dµ controllers. Both these species only tracts. has never been used before, publications examples calculation structures were found in literature. effectiveness confirmed by examples.