文献类型：期刊文献

英文题名：LMI-based H∞ boundary practical consensus control for nonlinear multi-agent systems with actuator saturation

作者：Zhong, Jiaqi Feng, Yan Zeng, Cheng

第一作者：Zhong, Jiaqi

机构：[1] College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China; [2] College of Science, Guizhou Institute of Technology, Guiyang, 550000, China

第一机构：College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

通信机构：College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

年份：2023

卷号：135

起止页码：261-271

外文期刊名：ISA Transactions

收录：EI(收录号：20224212902091);Scopus(收录号：2-s2.0-85139738697)

语种：英文

外文关键词：Actuators - Directed graphs - Linear matrix inequalities - Nonlinear equations

摘要：This paper mainly addresses the practical consensus problem of nonlinear multi-agent systems modeled by reaction–diffusion equations subject to the bounded external disturbances. Different from the existing consensus control methods associated with spatiotemporal dynamics, the proposed H∞ Neumann boundary controller based on distributed measurement data can guarantee the optimal disturbance attenuation performance under the actuator saturation. Initially, a consensus spatiotemporal error model is constructed by introducing the Kronecker product and equivalent directed graph. Subsequently, a linear matrix inequalities (LMIs)-based sufficient condition is derived by combining the improved Lyapunov-based approach and H∞ norm. Then, an optimization problem is proposed by applying invariant set, such that the consensus errors can converge to a minimized bounded region in the presence of actuator saturation. Finally, comparison simulations on the synchronization of FitzHugh–Nagumo (FHN) model are given to demonstrate the effectiveness of proposed methodology. ? 2022 ISA