State estimation for parabolic PDE system with moving boundary utilizing mobile sensor networks with missing measurements

This paper considers the estimation for parabolic PDE systems with moving boundaries. To improve the estimation performance of the system, mobile sensors with missing measurements are used to provide the measurement information. Using abstract evolution equation of parabolic PDE system and Lyapunov stability arguments, a state estimator is designed to estimate the states of the system. Meanwhile, a stable control law for each of the mobile sensors, which is greatly affected by the moving boundary and the packet dropout rate, is presented while taking account of the dynamics of sensor movements. Simulation results show that the proposed estimators and mobile policies are effective.