Yuan Jiang and Ji-Yang Dai. An Adaptive Regulation Problem and Its Application. International Journal of Automation and Computing, vol. 14, no. 2, pp. 221-228, 2017. DOI: 10.1007/s11633-015-0900-3
Citation: Yuan Jiang and Ji-Yang Dai. An Adaptive Regulation Problem and Its Application. International Journal of Automation and Computing, vol. 14, no. 2, pp. 221-228, 2017. DOI: 10.1007/s11633-015-0900-3

An Adaptive Regulation Problem and Its Application

  • This paper studies an adaptive regulation problem for the modified FitzHugh-Nagumo neuron model under external electrical stimulation. We first present the solution of the global robust output regulation problem for output feedback system with an uncertain exosystem which models the external electrical stimulation with unknown frequency and amplitude. Then, we show that the robust control problem for the modified FitzHugh-Nagumo neuron model can be formulated as the global robust output regulation problem and the solvability conditions for the output regulation problem for the modified FitzHugh-Nagumo neuron model are all satisfied. Then, we apply the obtained output regulation result to constructing an output feedback control law for the modified FitzHugh-Nagumo neuron model to achieve global stability of the closed-loop system in the presence of uncertain parameters' and external stimulus. An example is given to show that the proposed algorithm can completely reject the external electrical stimulation.
  • loading

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return