TY - JOUR
T1 - Containment Control of Linear Multiagent Systems with Stochastic Disturbances via Event-Triggered Strategies
AU - Zou, Wencheng
AU - Huang, Yueying
AU - Ahn, Choon Ki
AU - Xiang, Zhengrong
N1 - Funding Information:
This work was supported in part by the National Natural Science Foundation of China unde rGrant 61873128 andGrant 61673219, in part by the National Research Foundation of Korea through theMinistry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325, and in part by the BrainKorea 21 Plus Project in 2020.
Publisher Copyright:
© 2007-2012 IEEE.
PY - 2020/12
Y1 - 2020/12
N2 - In this article, we investigate the event-triggered containment control problem for a class of multiagent systems, where agents are described by higher-order linear dynamics subject to stochastic disturbances. In event-triggered control scenarios, the control action is updated when a specified error reaches a given threshold. Due to the existence of stochastic factors, the given threshold may be reached in an any short time interval, which makes it hard to avoid Zeno behavior. In view of this, we propose two novel event-triggered containment control schemes for the underlying multiagent systems with stochastic disturbances. Using the stochastic control theory, graph theory, and Lyapunov functional method, it is proven that the followers' states can almost surely converge to the convex hull spanned by the leaders' states. It is noted that the continuous communications among agents are not required and each agent's inter-event intervals are lower-bounded by a positive constant. As such, the proposed control schemes are both practical and implementable. Finally, a numerical example is presented to illustrate the developed schemes' effectiveness.
AB - In this article, we investigate the event-triggered containment control problem for a class of multiagent systems, where agents are described by higher-order linear dynamics subject to stochastic disturbances. In event-triggered control scenarios, the control action is updated when a specified error reaches a given threshold. Due to the existence of stochastic factors, the given threshold may be reached in an any short time interval, which makes it hard to avoid Zeno behavior. In view of this, we propose two novel event-triggered containment control schemes for the underlying multiagent systems with stochastic disturbances. Using the stochastic control theory, graph theory, and Lyapunov functional method, it is proven that the followers' states can almost surely converge to the convex hull spanned by the leaders' states. It is noted that the continuous communications among agents are not required and each agent's inter-event intervals are lower-bounded by a positive constant. As such, the proposed control schemes are both practical and implementable. Finally, a numerical example is presented to illustrate the developed schemes' effectiveness.
KW - Containment control
KW - Zeno behavior
KW - event-triggered control
KW - multiagent systems
KW - stochastic disturbances
UR - http://www.scopus.com/inward/record.url?scp=85093871975&partnerID=8YFLogxK
U2 - 10.1109/JSYST.2020.2975247
DO - 10.1109/JSYST.2020.2975247
M3 - Article
AN - SCOPUS:85093871975
SN - 1932-8184
VL - 14
SP - 4810
EP - 4819
JO - IEEE Systems Journal
JF - IEEE Systems Journal
IS - 4
M1 - 9044432
ER -