Journal
NONLINEAR DYNAMICS
Volume 107, Issue 4, Pages 3557-3572Publisher
SPRINGER
DOI: 10.1007/s11071-021-07157-w
Keywords
Guaranteed cost positive consensus; Multiple time-varying delays; Topology-dependent average dwell time; Multi-agent systems
Categories
Funding
- National Natural Science Foundation of China [61973193, U1964207]
- Key Program of the National Natural Science Foundation of China [62133008]
- Innovative Research Groups of National Natural Science Foundation of China [61821004]
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This paper investigates the guaranteed cost positive consensus for linear multi-agent systems (MASs) with multiple time-varying delays and switching topologies. The positive consensus criterion and switching signals are derived by combining multiple Lyapunov-Krasovskii functionals with mode-dependent average dwell time approaches. It realizes a trade-off between the consensus regulation performance and the control energy consumption of MASs.
This paper investigates the guaranteed cost positive consensus for linear multi-agent systems (MASs) with multiple time-varying delays and switching topologies. First, necessary and sufficient conditions for the positivity of the focused system are given. The positive consensus criterion and switching signals are derived by combining multiple Lyapunov-Krasovskii functionals with mode-dependent average dwell time approaches. Then, the guaranteed cost positive consensus is studied via the state errors among neighbouring agents and control inputs. It realizes a trade-off between the consensus regulation performance and the control energy consumption of MASs. Particularly, the determined upper bound of the cost function depends merely on the initial conditions of the agents and is independent of the switching movements. Finally, simulation results are given to validate the proposed control scheme.
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