Positivity-Preserving Consensus Control of Multiagent Systems With Input Nonlinearities

Abstract

This article introduces an innovative approach to tackle the consensus issue for positive multiagent systems (MASs) with input nonlinearities. By analyzing a differential equation model of MASs with sector-bounded nonlinearity, positivity conditions are derived. Furthermore, a distributed state-feedback control protocol is applied to achieve consensus and simultaneously to preserve positivity. An iterative algorithm is used to compute a consensus controller gain. The saturation nonlinearity and its approximated form are also considered. Finally, the effectiveness of proposed method is verified through numerical examples. The findings of this study can potentially contribute to developing control strategies for MASs with nonlinear input dynamics.