Prescribed-time cluster lag consensus control for second-order non-linear leader-following multiagent systems
| Autor: | Zhiwei Li, Yuanhong Ren, Wuneng Zhou, Yuqing Sun, Ling Liu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov stability
0209 industrial biotechnology Computer science Applied Mathematics Lag Multi-agent system 020208 electrical & electronic engineering Graph theory 02 engineering and technology Computer Science Applications Computer Science::Multiagent Systems 020901 industrial engineering & automation Transformation (function) Consensus Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Special case Instrumentation |
| Zdroj: | ISA Transactions. 109:49-60 |
| ISSN: | 0019-0578 |
| DOI: | 10.1016/j.isatra.2020.09.012 |
| Popis: | Prescribed-time Lag consensus, as a special case of prescribed-time cluster lag consensus, is first investigated. The task is to design a control protocol for each follower so that the multiagent system (MAS) achieves lag consensus in any specified time. To achieve this goal, we propose a new distributed controller, in which the control gains are designed as time-varying functions related to the pre-specified time. In addition, a state transformation is introduced to tackle the technical difficulty caused by time-varying functions of different powers in the theoretical proof process. Then, a solution for the cluster lag consensus problem of the MAS is provided, so that under the proposed control protocol, each subsystem composed of followers from the same group and the leader achieves lag consensus with a different lag time in the specified time. By using a state transformation, Graph theory and generalized Lyapunov stability theory, the validity of the designed schemes is verified theoretically and sufficient conditions for the two conclusions are given respectively. Finally, we give two simulation examples to show performances of the proposed solutions. |
| Databáze: | OpenAIRE |
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