Observer-based positive edge consensus of multi-agent systems with directed graphs

Author:

Zhang Pengyu1,Zhang Wei1ORCID,Hu Liduo1,Hu Zhi12

Affiliation:

1. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, China

2. Department of Instrument Science and Engineering, Southeast University, China

Abstract

This paper concentrates on the positive edge consensus in directed networks with spanning trees using output feedback protocols. First, a novel positive system observer is established, which introduces a parameter to enhance the design freedom of the observer. Furthermore, sufficient conditions are proposed, which are based solely on the network’s edge count. Specifically, improved consensus and non-negative conditions are obtained by optimizing the constraints on the eigenvalue information. Subsequently, based on positive edge-consensus design conditions, a programming algorithm is developed. Finally, the effectiveness of the proposed control protocol is verified utilizing numerical simulations.

Funder

National Natural Science Foundation of China

Publisher

SAGE Publications

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