Finite-time observer design for linear descriptor systems

Abstract-The paper is devoted to the problem of finite-time observer design for linear descriptor systems. The scheme of observer parameters selection is presented by linear matrix equations and inequalities. The proposed observer does not require system transformation to a canonical form and guarantees convergence of the observation error to zero in a finite time.

I. Introduction

Descriptor systems are widely used to model a large class of physical, biological, economic and other systems (see, e.g., [1], [2], [3]). Compared to the standard representation (based on Ordinary Differential Equations (ODEs) only) descriptor systems contain both, dynamic and algebraic equations, which bring some benefits (e.g., some descriptor systems cannot be represented by using ODEs only; descriptor models can preserve physical parameters, etc.).