Distributed finite-time optimisation of multi-agent systems with unknown high-frequency gain signs under switching digraphs
Wenbo Zhu, Qingling Wang · International Journal of Systems Science · 2022
In this paper, we are concerned with distributed finite-time optimisation of multi-agent systems with unknown high-frequency gain signs under switching digraphs. First, a distributed finite-time gradient estimator-based optimal signal generator is constructed by adopting finite-time stability theory and graph theory. Then, considering the existence of unknown high-frequency gain signs in multi-agent systems, we propose new distributed asymptotic optimisation algorithms via the Nussbaum-type function. Additionally, in order to accelerate convergence, the novel distributed finite-time optimisation algorithms are presented. Both of the newly proposed algorithms can realise optimal consensus of multi-agent systems with unknown high-frequency gain signs under switching digraphs. Finally, two simulation examples are illustrated to verify the proposed algorithms.