State-bounding observer design for uncertain positive systems under ℓ1performance

Affiliation of Author(s):自动化学院

Journal:Optim Control Appl Methods

Abstract:This paper investigates the ℓ1-induced positive observer design problem for uncertain positive systems. First, we present the ℓ1-induced performance indicator for positive systems, which fits well into the linear Lyapunov function. Then, a novel ℓ1-induced performance characterization is developed for uncertain positive systems. Furthermore, a linear programming–based method is proposed to solve the ℓ1-induced positive observer synthesis problem for positive systems with interval uncertainties. A pair of positive state-bounding observers is designed to estimate the state of uncertain positive systems. Finally, we provide a numerical example to demonstrate the validity and efficiency of the derived methods. Copyright © 2017 John Wiley & Sons, Ltd.

ISSN No.:0143-2087

Translation or Not:no

Date of Publication:2018-01-01

Co-author:cm,shenjun

Correspondence Author:陈晓明

Date of Publication:2018-01-01