Fractional-Order Memory Reset Control for Integer-Order LTI Systems

In this contribution we consider the control of integer-order LTI systems by using a fractional-order controller. We show that these controllers lack exponential convergence and propose a periodic memory reset of the controller. Applying this controller the resulting closed-loop dynamics can be represented by a hybrid fractional-order system. Its stability is determined via the induced discrete system. The induced system guarantees exponential convergence and leads to an integer-order interpretation of the closed-loop dynamics for the lower frequency range.