Leader-Following Consensus Stability of Discrete-Time Linear Multiagent Systems with Observer-Based Protocols

Abstract EN

We consider the leader-following consensus problem of discrete-time multiagent systems on a directed communication topology.

Two types of distributed observer-based consensus protocols are considered to solve such a problem.

The observers involved in the proposed protocols include full-order observer and reduced-order observer, which are used to reconstruct the state variables.

Two algorithms are provided to construct the consensus protocols, which are based on the modified discrete-time algebraic Riccati equation and Sylvester equation.

In light of graph and matrix theory, some consensus conditions are established.

Finally, a numerical example is provided to illustrate the obtained result.