4.7 Article

Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2015.2479046

Keywords

Chua circuit; consensus control; input delay; Lipschitz nonlinearity; multi-agent systems

Funding

  1. National Natural Science Foundation of China [61273105, 61203022]
  2. 111 Project [B08015]
  3. U.S. National Science Foundation [CMMI-1462171]
  4. China Scholarship Council (CSC)
  5. Directorate For Engineering
  6. Div Of Civil, Mechanical, & Manufact Inn [1462171] Funding Source: National Science Foundation

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This paper deals with the consensus control design for Lipschitz nonlinear multi-agent systems with input delay. The Artstein-Kwon-Pearson reduction method is employed to deal with the input delay and the integral term that remains in the transformed system is analyzed by using Krasovskii functional. Upon exploring certain features of the Laplacian matrix, sufficient conditions for global stability of the consensus control are identified using Lyapunov method in the time domain. The proposed control only uses relative state information of the agents. The effectiveness of the proposed control design is demonstrated through a simulation study.

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