Abstract
In this paper, we investigate the constrained consensus problem for discrete multi-agent systems subject to additive noises. Each agent can only receive relative state measurements corrupted by noises from its neighbours. Two control protocols are designed under some mild assumptions of the noises and the structure of the network. The first protocol is designed with constant control gain, and the constrained consensus error bound is obtained. Asymptotic constrained consensus can be further achieved under the second control protocol in which case time-varying gains are adopted. Finally, two numerical examples are given to illustrate the effectiveness of our results.
Acknowledgments
The authors would like to express our gratitude to all those who helped us during the writing of this thesis. We gratefully acknowledge the help of Professor Huanshui Zhang, who contributed and extended his valuable assistance from the preparation to completion of this study. We would like to thank the editors and reviewers for their comments and constructive suggestions, which help us to greatly improve the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.