Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 47, Issue 8, Pages 1948-1958Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2016.2612482
Keywords
Antagonistic interactions; bipartite consensus; generic linear system; input saturation; low gain feedback; multiagent systems; signed graph
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Funding
- National Natural Science Foundation of China [61333012, 61473269]
- Fundamental Research Funds for the Central Universities [WK2100100023]
- Youth Innovation Promotion Association of Chinese Academy of Sciences
- Australian Research Council [DP120104986]
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The bipartite consensus problem for a group of homogeneous generic linear agents with input saturation under directed interaction topology is examined. It is established that if each agent is asymptotically null controllable with bounded controls and the interaction topology described by a signed digraph is structurally balanced and contains a spanning tree, then the semi-global bipartite consensus can be achieved for the linear multiagent system by a linear feedback controller with the control gain being designed via the low gain feedback technique. The convergence analysis of the proposed control strategy is performed by means of the Lyapunov method which can also specify the convergence rate. At last, the validity of the theoretical findings is demonstrated by two simulation examples.
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