The consensus region design and analysis of fractional-order multi-agent systems

This paper addresses the consensus region design and analysis problem of fractional-order multi-agent systems, where time-invariant communication topology consisting of general linear node is considered. To achieve consensus, a fractional-order observer-type consensus protocol based on relative output measurements is proposed. The notion of consensus region for fractional-order dynamic is introduced and analyzed. The consensus region can be designed by an observer-type protocol if and only if each agent is stabilizable and detectable. A multi-step consensus protocol design procedure is presented for given consensus region. Several numerical simulations are given to demonstrate the effectiveness of the theoretical results.