{"title":"Low-chattering consensus of second-order multi-agent system based on implicit discrete-sliding mode control","authors":"Hongyi Liu, Junjie Fu","doi":"10.1002/asjc.3676","DOIUrl":null,"url":null,"abstract":"<p>This paper addresses the distributed leader-following consensus control problem for discrete-time second-order multi-agent systems. A novel implicit discrete-sliding mode controller is introduced, offering the key advantage of mitigating the chattering phenomenon typically associated with the traditional explicit discrete-time sliding mode control method. It is shown that with proper controller parameters, the sliding surface can be reached in finite steps. Then the consensus errors will converge to zero exponentially. A mixed linear complementarity problem (MLCP) is established to solve for the implicit discrete-sliding mode control input. Details about the implementation are presented, such as the information that is needed to obtain the solution of the MLCP. Finally, numerical examples are given to demonstrate the theoretical results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"28 2","pages":"672-684"},"PeriodicalIF":2.7000,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/asjc.3676","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/14 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper addresses the distributed leader-following consensus control problem for discrete-time second-order multi-agent systems. A novel implicit discrete-sliding mode controller is introduced, offering the key advantage of mitigating the chattering phenomenon typically associated with the traditional explicit discrete-time sliding mode control method. It is shown that with proper controller parameters, the sliding surface can be reached in finite steps. Then the consensus errors will converge to zero exponentially. A mixed linear complementarity problem (MLCP) is established to solve for the implicit discrete-sliding mode control input. Details about the implementation are presented, such as the information that is needed to obtain the solution of the MLCP. Finally, numerical examples are given to demonstrate the theoretical results.
期刊介绍：
The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application.
Published six times a year, the Journal aims to be a key platform for control communities throughout the world.
The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive.
Topics include:
The theory and design of control systems and components, encompassing:
Robust and distributed control using geometric, optimal, stochastic and nonlinear methods
Game theory and state estimation
Adaptive control, including neural networks, learning, parameter estimation
and system fault detection
Artificial intelligence, fuzzy and expert systems
Hierarchical and man-machine systems
All parts of systems engineering which consider the reliability of components and systems
Emerging application areas, such as:
Robotics
Mechatronics
Computers for computer-aided design, manufacturing, and control of
various industrial processes
Space vehicles and aircraft, ships, and traffic
Biomedical systems
National economies
Power systems
Agriculture
Natural resources.
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