Adaptive size-independent control of uncertain leader following systems with only relative displacement information

Hossein Chehardoli and Ali Ghasemi

Physica A: Statistical Mechanics and its Applications, 2022, vol. 597, issue C

Abstract: The adaptive robust size-independent consensus problem of leader following multi-agent systems (MASs) with unknown dynamics based on only onboard relative displacement information is studied. It is assumed that all followers only can measure the relative displacement regarding their adjacent agents. Due to lack of communication tools, each follower must estimate its uncertain dynamics and the leader acceleration simultaneously. A decentralized adaptive robust consensus law is presented to achieve the global state consensus for uncertain second-order multi-agent systems by employing only relative displacement information. According to the Lyapunov theorem, it is proved that without any knowledge about the number of followers and communication graph, the global state consensus is attained. The control and adaptive gains are tuned independently of the number of followers and communication topology. Therefore, the controller is robust against size-changing and can be applied to large-scale uncertain MASs. Afterward, it is verified that if the basis vectors are persistently exciting (PE), the estimation errors of uncertain vectors tend to zero. Several numerical scenarios are prepared to confirm the efficiency of this method.

Keywords: Robust adaptive consensus; Multi-agent systems (MASs); Decentralized network; Relative displacement; Persistently exciting (PE) condition (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437122002436
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002436

DOI: 10.1016/j.physa.2022.127289

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().