Consensus Control of Fractional‐Order Systems Based on Delayed State Fractional Order Derivative
Xueliang Liu, Zhi Zhang, Huazhu Liu · Asian Journal of Control · 2017
Abstract In this paper, the delayed state fractional order derivative (DSFOD) is introduced into the existing traditional consensus protocol aiming to improve the robustness of fractional‐order multi‐agent systems against communication time delay. Both of communication channels with time‐delay and without time‐delay cases are considered. Based on the frequency‐domain analysis and algebraic graph theory, it is shown that properly choosing the intensity of DSFOD can improve the robustness of fractional‐order multi‐agent systems against communication delay. Finally, a simulated example with simulations is presented to confirm the correctness and effectiveness of the theoretical results.