Bounded consensus tracking for sampled-data second-order multi-agent systems with fixed and Markovian switching topology

摘要

This paper studies the bounded consensus tracking problems of second-order multi-agent systems with fixed and Markovian switching topology in a sampling setting. It is assumed that all the agents can only obtain the approximative value of the leader's acceleration instead of the actual value. Moreover, only a portion of agents can have the access to the leader and obtain the leader's position and velocity directly. By virtue of matrix analysis and perturbation theory, we present necessary and sufficient conditions for boundedness of tracking error system and show the ultimate bound of tracking errors under fixed and Markovian switching topology, respectively. Finally, a simulation example is given to illustrate the effectiveness of the results. Copyright (c) 2013 John Wiley & Sons, Ltd.