Consensus of Discrete-Time Linear Networked Multi-agent Systems Subject to Actuator Saturation

In this paper, we investigate the consensus problem of multi agent systems based on the discrete-time general linear model with actuator saturation. A new family of distributed parametric low-and-high gain control protocols is provided, and such control protocols rely on the discrete-time Parametric Algebraic Riccati Equation. Furthermore, the convergence results are also given as consensus function sequences. Finally, an illustrative example shows that the low-and-high gain control protocol is effective for the consensus problem of the general linear multi agent systems with actuator saturation.