LMI-based H? boundary practical consensus control for nonlinear multi-agent systems with actuator saturation

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 Hoo Neumann boundary controller based on distributed measurement data can guarantee the optimal disturbance attenuation performance under the actuator saturation. Initially, a consensus spatiotem-poral 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 Hoo 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. (c) 2022 ISA. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper mainly addresses the practical consensus problem of nonlinear multi-agent systems subject to bounded external disturbances. The proposed Hoo Neumann boundary controller based on distributed measurement data can guarantee optimal disturbance attenuation performance under actuator saturation.