Journal
NEUROCOMPUTING
Volume 266, Issue -, Pages 651-658Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2017.05.073
Keywords
Singular multi-agent system; Guaranteed-performance; Leader-following consensus; Lipschitz nonlinear dynamics
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Funding
- National Natural Science Foundation of China [61374054, 61503012, 61503009, 61333011]
- Shaanxi Province Natural Science Foundation Research Projection [20161M6014]
- Innovation Foundation of High-Tech Institute of Xi'an [2015ZZDJJ03]
- Youth Foundation of High-Tech Institute of Xi'an [2016QNJJ004]
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Leader-following guaranteed-performance consensus problems for singular multi-agent systems with Lipschitz nonlinear dynamics are investigated. To obtain leader-following guaranteed-performance consensus, the consensus protocol and quadratic performance function based on state errors are proposed. Then, leader-following consensus problems of a nonlinear singular multi-agent system are transformed into asymptotic stabilization problems of a reduced-order subsystem by a new state decomposition method, and the impacts of the Lipschitz nonlinear dynamics are eliminated by using the structure property of the transformation matrix and the Lipschitz condition. Moreover, a guaranteed-performance consensualization criterion based on the Riccati inequality is given and the guaranteed-performance cost with a new structure is determined. Finally, a numerical simulation is shown to verify the validity of theoretical results. (C) 2017 Published by Elsevier B.V.
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