Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

Abstract EN

Inverse problems have applications in many branches of science and engineering.

In this paper we propose a new approach to solving inverse problems which is based on using concepts from feedback control systems to determine the inverse of highly nonlinear, discontinuous, and ill-conditioned input-output relationships.

The method uses elements from least squares solutions that are formed within a control loop.

The stability and convergence of the inverse solution are established.

Several examples demonstrate the applicability of the proposed method.