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Apr.  2014

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2014  >  1(2): 210-217
Chenghui Zhang, Le Chang and Xianfu Zhang, "Leader-follower Consensus of Upper-triangular Nonlinear Multi-agent Systems," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 210-217, 2014.
Citation: Chenghui Zhang, Le Chang and Xianfu Zhang, "Leader-follower Consensus of Upper-triangular Nonlinear Multi-agent Systems," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 210-217, 2014.
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Leader-follower Consensus of Upper-triangular Nonlinear Multi-agent Systems

  • School of Control Science and Engineering, Shandong University, Jinan 250061, China

Funds:

This work was supported by National Key Basic Research Program of China (2013CB035604), Major International (Regional) Joint Research Project of the National Natural Science Foundation of China (61320106011), National Natural Science Foundation of China (61034007, 51277116, 61174208), Independent Innovation Foundation of Shandong University (2012TB014).

    Abstract
  • This paper is concerned with the leader-follower consensus problem by using both state and output feedback for a class of nonlinear multi-agent systems. The agents considered here are all identical upper-triangular nonlinear systems which satisfy the Lipschitz growth condition. First, it is shown that the leader-follower consensus problem is equivalent to the control design problem of a high-dimensional multi-variable system. Second, by introducing an appropriate state transformation, the control design problem can be converted into the problem of finding a constant parameter, which can be obtained by solving the Lyapunov equation and estimating the nonlinear terms of the given system. At last, an example is given to verify effectiveness of the proposed consensus algorithms.

     

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