Journal
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
Volume 50, Issue 6, Pages 2181-2186Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2018.2810089
Keywords
Topology; Multi-agent systems; Switches; Sun; Decentralized control; Adaptive consensus; Nussbaum-type function; switching topologies; unknown control directions (UCDs)
Funding
- National Natural Science Foundation of China [61503079, 61520106009, 61533008]
- Jiangsu Natural Science Foundation [BK20150625]
- Fundamental Research Funds for the Central Universities [2242017K41055]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
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This paper solves the adaptive consensus problem for first-order linearly parameterized agents with completely nonidentical unknown high-frequency gain signs under directed graphs. A new class of Nussbaum-type function-based algorithms are proposed to handle the unknown high-frequency gain signs adaptively and cooperatively. It is shown that if the underlying topology is a fixed graph with strongly connected or switching topologies having a jointly strongly connected basis, the first-order linearly parameterized agents with nonidentical unknown high-frequency gain signs can achieve asymptotic consensus. Finally, the effectiveness of proposed algorithms are verified by one simulation example.
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