A Novel Sampled-Data Control for Reachable Set Estimation of Nonlinear Multiagent Systems
Abstract
This article examines the reachable set estimation problem for leaderless multiagent systems (MASs) with Lipschitz nonlinear dynamics and bounded input disturbances via novel sampled-data control. First, a new time-dependent sampled-data control technique is proposed for nonlinear MASs. In contrast to the conventional approach, the developed control signal includes a sampling-time variable that varies over time within each sampling period. Next, the primary Lyapunov term consists of aperiodic sampling in various degrees, hence becoming discontinuous. Furthermore, sufficient reachable set conditions are derived as linear matrix inequalities by making use of Wirtinger’s inequality-based time-dependent discontinuous Lyapunov-Krasovskii functional and two-sided looped functional. In the end, two illustrated numerical examples validate theoretical outcomes exhibiting reduced conservatism by expanding the sampling period and minimizing the number of decision variables.
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Existing sampled-data studies typically require the global Lipschitz assumption on the system for handling nonlinearity, necessitating precise knowledge of the nonlinearities.
“However, these studies typically require the global Lipschitz assumption on the system for handling nonlinearity, necessitating precise knowledge of the nonlinearities.”
From Neural Network-Aided Sampled-Data Control for a Class of Nonlinear Systems With Unknown Dynamics (2025) · cites this paper as [11]
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- Authors
- Janani, V. M., Visakamoorthi, B., Muthukumar, P., & Hur, S.-H.
- Affiliations
- Gandhigram Rural Institute (IN)
- Kyungpook National University (KR)
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Published
- 2025-01
- Volume
- 55
- Issue
- 1
- Pages
- 380-389
- ISSN
- 2168-2216 (ISSN-L)
- 2168-2232
- OpenAlex
- W4403446587
- Cited by
- 13
- References
- 38
- Citations by year
- 2026: 9 · 2025: 4
- FWCI
- 2.17
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Systems Man and Cybernetics Systems (publishedVersion)
- Funders
- University Grants Commission (82-7/2022)
- Topics
- Physical Sciences › Computer Science › Computer Networks and Communications › Distributed Control Multi-Agent Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Keywords
- reachable set estimation, sampled-data control, nonlinear multi-agent systems, Wirtinger inequality, looped functional, linear matrix inequalities, aperiodic sampling
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