Time-varying output formation-containment control for homogeneous/heterogeneous descriptor fractional-order multi-agent systems

作者: Huaguang Zhang , Yingchun Wang , Zhiyun Gao , Yunfei Mu

DOI: 10.1016/J.INS.2021.03.017

关键词: Convex hullMathematical optimizationOrder (exchange)Invertible matrixTracking (particle physics)Computer scienceContainment (computer programming)TrajectoryControl (management)Multi-agent system

摘要: Abstract In this paper, the time-varying output formation-containment (TV-OFC) problem of homogeneous and heterogeneous descriptor fractional-order multi-agent systems (DFO-MASs) is investigated. The results obtained in previous works for nonsingular integer-order can be regarded as particular cases our results. This control aims at making leaders keep shape to move followers inside convex hull spanned by simultaneously. First, both feedback strategy observer-based algorithm are designed address TV-OFC DFO-MASs, where virtual leader provides reference trajectory achieve formation tracking. Then, sufficient conditions with less computation complexity presented methods determine gain matrices schemes proposed so TV-OFC. Finally, numerical examples given demonstrate effectiveness theoretical conclusions.

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