Practical consensus for heterogeneous multi-agent systems with gain fluctuations via resilient sampled-data control. (May 2023)

• Record Type: Journal Article
• Authors: Visakamoorthi, B.; Yu, Samson Shenglong; Subramanian, K.; Muthukumar, P.; Chadli, Mohammed; Trinh, Hieu
• Is Part Of: European journal of control. Volume 71(2023)
• Publication Date: 2023-05
• Subjects: Heterogeneous multi-agent systems -- Lyapunov-Krasovskii functional -- Resilient sampled-data control -- Practical consensus -- Linear matrix inequality; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2023.100803
• Languages: English
• ISSNs: 0947-3580

Abstract

Highlights: The random variables are introduced to represent the stochastic nonlinearities in the heterogeneous MAS at any instant of time. The gain fluctuation and constant signal transmission delay are simultaneously considered in the proposed controller. For the proposed sampled-data control scheme, the sampling intervals are time-varying and aperiodic. A novel Lyapunov-Krasovskii functional, including the looped functional and Wirtinger's inequality based discontinuous term is proposed. The practical consensus problem for heterogeneous MAS is investigated under fixed topology and it has been extended for the switched case also. Abstract: This study proposes a sampled-data-based practical consensus control method for heterogeneous multi-agent systems with gain fluctuations. First, the heterogeneous multi-agent system is formulated together with randomly occurring nonlinear dynamics. Second, unlike the existing studies, a more general retarded sampled-data control approach is designed, which involves the gain fluctuations along with the actual sampling pattern and constant time delay, to achieve the practical consensus of the considered system. By utilizing the aperiodic sampling information, and looped functional approach, a Wirtinger's inequality-based discontinuous Lyapunov-Krasovskii functional is constructed to derive the delay-dependent stability condition of the closed-loop system in the form of linear matrix inequality. Finally, numerical simulation is presented to illustrate the derived theoretical results.