On dynamic reconstruction of a disturbances in distributed parameter systems

The problem of dynamic reconstruction of disturbances acting on a nonlinear system composed of two coupled parabolic-type equations is under consideration. Assuming that a solution of the system is measured (with errors) at discrete times, an algorithm for solving the problem is proposed. The algorithm, based on the principles of feedback control theory, is shown to be robust with respect to informational noises and computational inaccuracies. An estimate of the convergence rate of the algorithm is provided.