Leader-following consensus for fractional multi-agent systems

Abstract

A leader-following consensus for Caputo fractional multi-agent systems with nonlinear intrinsic dynamics is investigated. The second Lyapunov method is used to design a control protocol ensuring a consensus for two types of multi-agent systems. Contrary to the previous studies on leader-following consensus, the investigation covers systems with bounded and unbounded time-dependent Lipschitz coefficients in the intrinsic dynamics. Moreover, coupling strength describing the interactions between agents is considered to be a function of time.

A survey of the consensus for multi-agent systems

“…By introducing local estimators for the bounds of reference trajectory and a filter, a new backstepping based smooth distributed adaptive control protocol is proposed to achieve leader-following consensus control for high-order nonlinear MASs in Huang, Song, Wang, Wen, and Li (2017). Contrary to the previous studies on leader-following consensus, the Caputo fractional MASs cover bounded and unbounded time-dependent Lipschitz coefficients in Almeida, Girejko, Hristova, and Malinowska (2019). A constrained control protocol is designed for the nonlinear MASs with input constraint in Deng, Sun, and Liu (2019).…”

Adaptive neural control of non‐linear fractional order multi‐agent systems in the presence of error constraints and input saturation

“…A good performance of fractional order PID controllers was presented in [23]. High efficiency of fractional order controllers with output feedback and adaptive fractional order controllers were also investigated in [24], as a result of which, more attention was paid to the issue of controlling fractional order multi-agent systems (FOMAS) [18,[25][26][27][28][29][30][31]. A leader-follower consensus was investigated for fractional order multi-agent systems with nonlinear dynamics [27].…”

“…High efficiency of fractional order controllers with output feedback and adaptive fractional order controllers were also investigated in [24], as a result of which, more attention was paid to the issue of controlling fractional order multi-agent systems (FOMAS) [18,[25][26][27][28][29][30][31]. A leader-follower consensus was investigated for fractional order multi-agent systems with nonlinear dynamics [27]. In [29], a nonlinear Lipchitz distributed tracking output problem was considered by considering an unknown leader in a static direct topology.…”

Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator

“…The study of fractional‐order (FO) systems is an important research topic in view of different applications, such as signal processing, 1 consensus multi‐agent systems, 2 energy storage, 3 viscoelasticity, 4 and the description of biological and mechanical systems 5‐8 . This is due to the fact that the FO models describe the systems more accurately than the integer‐order formulations 9 .…”