TY - GEN
T1 - Robust distributed consensus tracking for stochastic linear multi-agent systems under directed switching topologies
AU - Feng, Zhi
AU - Hu, Guoqiang
AU - Wen, Guanghui
PY - 2014
Y1 - 2014
N2 - This paper investigates a robust mean-square exponential consensus tracking problem for a class of Itô stochastic linear multi-agent systems in the presence of stochastic noises and directed switching topologies. The desired tracking trajectory is only available to a small group of followers. By only using the relative state information among the neighbors and themselves, a distributed consensus tracking protocol is designed to achieve robust consensus tracking. A multi-step design procedure is developed for designing the feedback controller gain matrix in the protocol. Based on an average dwell time (ADT) approach, sufficient conditions on robust mean-square exponential consensus tracking are derived via the tools from M-matrix theory, graph theory, Lyapunov function analysis, and Itô stochastic theory. Numerical simulation is provided to illustrate the effectiveness of the theoretical result.
AB - This paper investigates a robust mean-square exponential consensus tracking problem for a class of Itô stochastic linear multi-agent systems in the presence of stochastic noises and directed switching topologies. The desired tracking trajectory is only available to a small group of followers. By only using the relative state information among the neighbors and themselves, a distributed consensus tracking protocol is designed to achieve robust consensus tracking. A multi-step design procedure is developed for designing the feedback controller gain matrix in the protocol. Based on an average dwell time (ADT) approach, sufficient conditions on robust mean-square exponential consensus tracking are derived via the tools from M-matrix theory, graph theory, Lyapunov function analysis, and Itô stochastic theory. Numerical simulation is provided to illustrate the effectiveness of the theoretical result.
KW - Directed switching topology
KW - Distributed consensus tracking
KW - Mean-square exponential convergence
KW - Stochastic linear multi-agent system
UR - https://www.scopus.com/pages/publications/84906541097
U2 - 10.1109/ICCA.2014.6870916
DO - 10.1109/ICCA.2014.6870916
M3 - 会议稿件
AN - SCOPUS:84906541097
SN - 9781479928378
T3 - IEEE International Conference on Control and Automation, ICCA
SP - 174
EP - 179
BT - 11th IEEE International Conference on Control and Automation, IEEE ICCA 2014
PB - IEEE Computer Society
T2 - 11th IEEE International Conference on Control and Automation, IEEE ICCA 2014
Y2 - 18 June 2014 through 20 June 2014
ER -