Abstract
This brief addresses the time-varying formation control (TVFC) problem for fractional-order multi-agent systems (MASs) with general linear dynamics under fixed and switching directed interaction topologies respectively, where the fractional-order \alpha satisfies a general condition of {\alpha \in (0,n]}. Considering only the output information are available, the observer-based distributed control protocols are proposed to realize TVFC. By a class of linear transformations, the TVFC problem converts into the asymptotical stability problem of a new system. Sufficient conditions for fractional-order MASs are derived by employing the stability theory of fractional-order systems, matrix theory, algebraic graph theory, Laplace transformation, and Mittag-Leffler function. Finally, two numerical simulations are presented to validate the theoretical analysis.
| Original language | English |
|---|---|
| Article number | 8640252 |
| Pages (from-to) | 82-86 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
| Volume | 67 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2020 |
Keywords
- Multi-agent systems
- fractional-order
- observer-based protocol
- time-varying formation control
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