Fuzzy-based Dissipative Consensus for Multi-Agent Systems with Markov Switching Topologies

Abstract In this paper, the dissipativity-based consensus problem for polynomial fuzzy multi-agent systems is considered. First, a novel fuzzy modeling method is proposed to describe the error dynamics. By establishing the changing topologies by Markov process, a new consensus protocols are designed. By polynomial Lyapunov function and sum of squares, sufficient condition is given to assure even-square consensus with dissipative performance. Finally, an illustrative example is employed to verify the proposed dissipativity-based even-square consensus design schemes.