Set-membership state estimation for time-varying complex networks: two zonotopic design methods

Abstract

This article studies the zonotopic set-membership state estimation problem for linear time-varying complex networks with unknown-but-bounded (UBB) noises, where the UBB noises are contained by a set of zonotopes. The objective of the addressed problem is to give two design methods, namely the correction matrix method and the state observer method, where a time-varying zonotopic sequence containing all possible states of the system is obtained. The expressions of the correction matrix and the observer gain are given under the F-radius criterion, and the desired minimum zonotopes are obtained. In addition, a state observer based on the measured output at the current moment is designed to analyze the equivalence between the above two methods. Finally, in order to demonstrate the effectiveness of the proposed state estimation algorithms, two simulation examples are presented.

Keywords:

• Time-varying complex networks
• set-membership state estimation
• zonotopes
• correction matrix
• state observer

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 12071102, 12171124 and 12301568; the Fundamental Research Foundation for Universities of Heilongjiang Province under Grant 2022-KYYWF-0140; the Natural Science Foundation of Heilongjiang Province of China under Grant ZD2022F003.