Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control. (July 2018)

• Record Type: Journal Article
• Authors: Wang, Yan-Wu; Liu, Xiao-Kang; Xiao, Jiang-Wen; Shen, Yanjun
• Is Part Of: Automatica. Volume 93(2018)
• Page Start: 26
• Page End: 32
• Publication Date: 2018-07
• Subjects: Containment control -- Formation control -- Heterogeneous linear systems -- Hybrid systems -- Distributed control; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.03.020
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper investigates the output formation-containment problem of interacted heterogeneous linear systems, where each heterogeneous system, whether the leader or the follower, has different dimensions and dynamics. Different from existing literature, discrete-time communication manner is deployed to reduce the communication consumption. By the impulsive control method, a distributed hybrid active controller is designed using the discrete-time information of neighbors. It achieves the output formation-containment of heterogeneous systems if two related conditions are satisfied, namely, local linear matrix inequalities (LMIs) and a bounded constraint on the average interacted interval. Moreover, the controller parameter design is further simplified by replacing the LMI condition with a Hurwitz condition, which can be easily guaranteed by solving a Riccati equation. Finally, a numerical example is provided to demonstrate the effectiveness of the theoretical result.