Some General Results and Examples on the Design of Observers for Nonlinear Control Systems.

Abstract

We present an observer design for systems with controlled nonlinear dynamics and nonlinear observation. The design is a development of earlier work, which was motivated by nonlinear filtering asymptotics. The basic design requires that the initial conditions belong to a bounded region determined by the data and design parameters. However, for a certain class of systems, no such a priori knowledge is required. To illustrate the utility of our design, several examples are given. In particular, we obtain an observer for bilinear control systems.