Robust Adaptive Fuzzy Tracking Control of Stochastic Neuron Systems

Nerve cells communicate by generating and transmitting action potentials. Annihilation of neural oscillation by functional electrical stimulation is a promising treatment modality in neural diseases. In this paper, a robust adaptive fuzzy tracking control is proposed for stochastic Hodgkin-Huxley (HH) neuron systems to generate a desired reference response in spite of environmental noises, uncertain initial values, and diffusion currents from other interconnected nerve cells. The robust adaptive fuzzy tracking control scheme can provide new methods for desired action potential generation, suppression of oscillations with a single compartment nerve cell model, and blockage of action potential transmission with a multi-compartment nerve fiber model under environmental noise and diffusion currents.