Predefined containment control for general linear multiagent systems with time‐varying delays and switching topologies. Issue 2 (21st January 2020)

• Record Type: Journal Article
• Authors: Zhou, Shiyu; Hua, Yongzhao; Dong, Xiwang; Li, Qingdong; Ren, Zhang
• Other Names: Duan Haibin guestEditor.; Fang Hao guestEditor.
• Is Part Of: Advanced control for applications. Volume 2:Issue 2(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-01-21
• Subjects: containment control -- general‐linear multiagent systems -- switching topologies -- time‐varying delays; Automatic control -- Periodicals; Automatic control; Periodicals; Electronic journals; 629.8
• DOI: 10.1002/adc2.26
• Languages: English
• ISSNs: 2578-0727

Abstract

Abstract: Containment control problems for general linear multiagent systems with switching interaction topologies and time‐varying delays are studied. Firstly, state observers are constructed to estimate the multiple leaders under the influence of switching graphs and time‐varying delays. Secondly, a predefined containment protocol is presented based on the distributed state observer, where the expected convex combination of multiple leaders is predefined by several given weights. Moreover, an algorithm with two steps to confirm the gain matrices of the containment protocol and state observer is given. Based on linear matrix inequality technique and common Lyapunov‐Krasovskii stability theory, the convergence of this control strategy for multiagent systems with switching topologies and time‐varying delays to achieve state containment is proved. Finally, a numerical simulation is given to verify the validity of the theoretical results. Abstract : Containment control problems for general linear multi‐agent systems with switching interaction topologies and time‐varying delays are studied. Both state observers and predefined containment protocol are presented to solve the containment problem. Moreover, an algorithm with two steps to confirm the gain matrices of the containment protocol and state observer is given. Based on linear matrix inequality technique and common Lyapunov‐Krasovskii stability theory, the convergence of this control strategy is proved.