Journal
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
Volume 4, Issue 2, Pages 202-212Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2015.2489338
Keywords
Distributed control; Lipschitz nonlinearity; multiagent systems; quantized consensus; switching topologies
Funding
- National Natural Science Foundation of China [61403279, 61374070, 61473055]
- Tianjin Natural Science Foundation [13JCQNJC04000]
- Fundamental Research Funds for the Central Universities [DUT14QY14, DUT14QY31]
- Educational Reform Project of Tianjin University of Technology [YB13-42]
- National University of Singapore [RCA-14/123]
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This paper investigates the distributed quantized H-infinity consensus problems for general linear and Lipschitz nonlinear multiagent systems with input quantization mismatch and external disturbances under switching weighted undirected or balanced directed topologies. The designed distributed quantized H-infinity consensus protocol can be divided into two parts which are linear and nonlinear parts. The linear part plays a role in achieving satisfactory performance against interval-bounded model uncertainties, external disturbances, and unknown initial states. The nonlinear part eliminates the effect of input quantization. It should be mentioned that complete consensus instead of practical consensus can be achieved in the presence of uniform quantization. In addition, instead of requiring the coupling strength among neighboring agents to be larger than a threshold value as in previous literature, the coupling strength in this paper can be determined by solving some linear matrix inequalities. Sufficient conditions for the existence of the proposed control strategy are also obtained by using the LMI technique. Finally, two numerical examples are presented to show the effectiveness and advantages of the proposed consensus strategy.
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