A nonlinear observer for bilinear systems in block form

Abstract

This paper presents the design of a high-gain nonlinear observer for bilinear systems in the block form. We prove the uniform exponential stability of the observer error by finding a concrete exponential bound. In particular, we extend the result of O. I. Goncharov on the exponential stability of high-gain bilinear observers into observers of block forms. Our work results in a generalization of that work. We also study and simulate two examples of observers for bioreactor systems in two and three dimensions. Finally, the results show the effectiveness of the proposed approach.