Distributed coordination algorithms for multiple fractional-order systems

Abstract-- This paper studies distributed coordination algorithms for multiple fractional-order systems over a directed communication graph. A general fractional-order consensus model is introduced by summarizing three different cases: (i) fractional-order agent dynamics with integer-order consensus algorithms, (ii) fractional-order agent dynamics with fractional-order consensus algorithms, and (iii) integer-order agent dynamics with fractional-order consensus algorithms. We show sufficient conditions on the communication graph and the fractional order such that consensus can be achieved using the general model. The consensus equilibrium is also given explicitly. In addition, we characterize the relationship between the number of agents and the fractional order to ensure consensus. Furthermore, we compare the convergence speed of consensus for fractional-order systems with that for integer-order systems. It is shown that the convergence speed of the fractional-order consensus algorithm...

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Yongcan Cao, Yan Li, Wei Ren, Yangquan Chen
• Keywords: CDC 2008, Consensus Algorithms, Control Systems, Fractional Orders, Fractional-order Consensus Algorithms