Fuzzy State Estimation of Space 2-D Nonlinear Parabolic PDE Systems Utilizing a Mobile Sensor

This paper presents a design method for the fuzzy state observer of spatial two-dimensional (2-D) nonlinear parabolic partial differential equation (PDE) systems under the utilization of a mobile sensor. Initially, a Takagi-Sugeno (T-S) fuzzy model is established, as it is capable of representing nonlinear systems. Subsequently, by employing the Lyapunov direct method, a fuzzy state observer and a guidance law of the mobile sensor are proposed to ensure the asymptotic stability of the state estimation error system. Ultimately, numerical simulations are conducted to demonstrate the viability of the developed approach.