Functional interval observer for discrete-time systems with disturbances

作者：

Highlights：

• This paper further investigates the design problem of the functional interval observer for discrete-time systems with disturbances and mainly has three highlights:

• We design an FIO for linear discrete-time systems by using monotone system theory, and the sufficient conditions are presented by Sylvester equations.

• The design constraints are reduced and the estimation accuracy is improved by using the zonotope method.

• By comparing the two methods, the approach of the zonotope can reduce the constraints of observer design and improve the performance of the proposed FIO.

摘要

•This paper further investigates the design problem of the functional interval observer for discrete-time systems with disturbances and mainly has three highlights:•We design an FIO for linear discrete-time systems by using monotone system theory, and the sufficient conditions are presented by Sylvester equations.•The design constraints are reduced and the estimation accuracy is improved by using the zonotope method.•By comparing the two methods, the approach of the zonotope can reduce the constraints of observer design and improve the performance of the proposed FIO.

论文关键词：Functional interval observers,Discrete-time systems,Zonotopes,H∞ observers

论文评审过程：Received 8 October 2019, Revised 8 April 2020, Accepted 6 May 2020, Available online 22 May 2020, Version of Record 22 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125352