Abstract
Distributed coordination of fractional multiagent systems with external disturbances is studied. The state observer of fractional dynamical system is presented, and an adaptive pinning controller is designed for a little part of agents in multiagent systems without disturbances. This adaptive pinning controller with the state observer can ensure multiple agents' states reaching an expected reference tracking. Based on disturbance observers, the controllers are composited with the pinning controller and the state observer. By applying the stability theory of fractional order dynamical systems, the distributed coordination of fractional multiagent systems with external disturbances can be reached asymptotically.
Highlights
Distributed coordination of multiagent systems has become an active research field in the systems and controls society because of its importance applications in both civilian and military sectors
The state observer of fractional dynamical system is presented, and an adaptive pinning controller is designed for a little part of agents in multiagent systems without disturbances
Fractional calculus has attracted a significant number of researchers from physics and engineering. Many dynamical systems such as dielectric polarization, viscoelastic systems, and electromagnetic waves have turned out to be modeled by fractional-order differential equations, and many important results for fractional-order dynamical systems have been obtained [13,14,15,16,17]
Summary
Distributed coordination of multiagent systems has become an active research field in the systems and controls society because of its importance applications in both civilian and military sectors. Fractional calculus has attracted a significant number of researchers from physics and engineering Many dynamical systems such as dielectric polarization, viscoelastic systems, and electromagnetic waves have turned out to be modeled by fractional-order differential equations, and many important results for fractional-order dynamical systems have been obtained [13,14,15,16,17]. Motivated by the broad application of distributed cooperation in multiagent systems and the fact that many practical physical systems are demonstrated with fractional-order dynamics, the distributed coordination of fractional-order networked systems will be studied in this paper. The distributed coordination of fractional multiagent systems with external disturbances can be reached asymptotically by applying the controllers composted with the pinning controller
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