Consensus control of fractional-order systems based on delayed state fractional order derivative. (English) Zbl 1386.93014
Summary: 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.
MSC:
| 93A14 | Decentralized systems |
| 34A08 | Fractional ordinary differential equations |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93B35 | Sensitivity (robustness) |
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