Fuzzy Observer for 2-D Parabolic Equation With Output Time Delay

This article addresses fuzzy observer design for a nonlinear parabolic equation over an unit square domainΩin terms of the time delayed spatially averaged measurement, where the observer is composed ofm-chain of subobservers. Due to 2-D domain, special emphases are made to the computational complexity. A Lyapunov argument is utilized to give constructive conditions ensuring the exponential stability of the resulting error system. The method used for the continuous-time fuzzy observer is applicable to the sampled-data implementation. Consistent simulation results that support the proposed theoretical statements are presented.