Fractional-order ADRC framework for fractional-order parallel systems

This study discusses the control of parallel fractional order systems (FOSs) by the fractional-order active disturbance rejection control (FOADRC) technique. The FOADRC framework for linear FOSs and the necessary conditions for the existence of a stable controller of the system are given. The fractional-order tracking differentiator (FOTD) and the fractional-order extended state observer (FOESO) are introduced. Then, the FOADRC scheme for parallel FOSs is proposed. The effectiveness of the proposed scheme in this study paper is verified by a simulation example.