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Discrete Dynamics in Nature and Society
Volume 2017 (2017), Article ID 1626452, 10 pages
https://doi.org/10.1155/2017/1626452
Research Article

Distributed Tracking Control for Discrete-Time Multiagent Systems with Novel Markovian Switching Topologies

Key Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China

Correspondence should be addressed to Zhen Zhou

Received 28 August 2017; Revised 27 November 2017; Accepted 5 December 2017; Published 27 December 2017

Academic Editor: Rigoberto Medina

Copyright © 2017 Hongbin Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Distributed discrete-time coordinated tracking control problem is investigated for multiagent systems in the ideal case, where agents with a fixed graph combine with a leader-following group, aiming to expand the function of the traditional one in some scenes. The modified union switching topology is derived from a set of Markov chains to the edges by introducing a novel mapping. The issue on how to guarantee all the agents tracking the leader is solved through a PD-like consensus algorithm. The available sampling period and the feasible control gain are calculated in terms of the trigonometric function theory, and the mean-square bound of tracking errors is provided finally. Simulation example is presented to demonstrate the validity of the theoretical results.