Admissible consensus for DMASs based on an observer-type consensus protocol with output feedback

This paper analyzes admissible consensus problem for descriptor multi-agent systems (DMASs) with fixed topology. The communication topology among agents is described by a directed graph. Firstly, observer-type consensus strategy with output feedback is presented to ensure that consensus problem of DMASs is addressed. A state transformation is put forward to convert consensus problem of DMASs into asymptotic stability problem. Secondly, necessary and sufficient conditions of consensus for DMASs under observer-type consensus protocol are derived. Moreover, gain matrices are designed based on the Riccati equation. Finally, simulation example is presented to illustrate the established results.

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