A fuzzy approach for robust reference tracking control of nonlinear distributed parameter time-delayed systems and its biological application

This paper addresses the robust reference tracking control problem for nonlinear distributed parameter systems (NDPSs) with time delays, external disturbances and measurement noises. The NDPS is measured at several sensor locations for output feedback tracking control. A fuzzy spatial state space model derived via finite difference approach is introduced to represent the nonlinear distributed parameter time-delayed system. Based on this model, a robust fuzzy observer-based reference tracking controller is proposed to control the nonlinear distributed parameter system to track a desired reference trajectory. Firstly, a two-dimensional H_∞ reference tracking performance in a spatio-temporal domain is proposed for robust tracking design of nonlinear distributed parameter time-delayed systems. Finally, a tracking control design example for the nervous system is given to confirm the proposed reference tracking control scheme of nonlinear distributed parameter time-delayed systems.