Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents

• 成果类型: Article
• 署名作者: Zhang, Jin; Fridman, Emilia
• 署名单位: Tel Aviv University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3056364
• 发表日期: 2022
• 页码: 351-358
• 关键词: CONSENSUS; Linear matrix inequalities (LMIs); sampled-data control; stochastic multiagent systems

摘要

In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.