Zhang X, Zheng S, Ahn CK, Xie Y. Adaptive Neural Consensus for Fractional-Order Multi-Agent Systems With Faults and Delays.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 2023;
34:7873-7886. [PMID:
35157596 DOI:
10.1109/tnnls.2022.3146889]
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Abstract
This article investigates the consensus control for a class of fractional-order (FO) nonlinear multi-agent systems (MASs). Severe sensor/actuator faults and time-varying delays are both considered in the FO MASs. The severe faults may cause unknown control directions in MASs. A new adaptive controller, which is composed of a distributed FO Nussbaum gain, an FO filter, and an auxiliary function, is presented to deal with the severe faults. To cope with the time-varying delays, two different methods are proposed based on barrier Lyapunov function and Lyapunov-Krasovskii function, respectively. Meanwhile, the radial basis function neural network (RBF NN) is applied to approximate the unknown nonlinear functions during the design procedures. This can result in a low-complexity controller. Finally, two simulation examples are used to verify the validity of the proposed schemes.
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