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Lag Output Consensus for Second-Order Nonlinear Multiagent Systems Under PID Control | IEEE Journals & Magazine | IEEE Xplore

Lag Output Consensus for Second-Order Nonlinear Multiagent Systems Under PID Control


Abstract:

Based on PD and PI control methods, the lag output consensus problem for second-order nonlinear multiagent systems (MASs) without and with external disturbances is addres...Show More

Abstract:

Based on PD and PI control methods, the lag output consensus problem for second-order nonlinear multiagent systems (MASs) without and with external disturbances is addressed, which generalizes the existing lag consensus results for MASs. Firstly, a lag output consensus condition is derived for the MAS by designing a proper PD control scheme. Furthermore, a PI control strategy is developed to ensure that the MAS realizes the lag output consensus. In addition, two lag {\mathcal {H}}_{\infty } output consensus criteria are also established on the basis of PD and PI control schemes for the MAS with external disturbances. Lastly, two examples are utilized to verify the correctness and effectiveness of the devised control schemes. Note to Practitioners—Recently, virtual leader-based approach has been widely utilized to address the output consensus control problem for various MASs. Practically, each agent receiving its own output information may be later than the virtual leader. Therefore, it is more reasonable and meaningful to discuss the lag output consensus for MASs. Furthermore, considering that PID control is very simple and easy to implement, some PD and PI control strategies are developed to tackle the lag output consensus for MASs. In addition, since external disturbances are ubiquitous and may destroy the lag output consensus, the lag {\mathcal {H}}_{\infty } output consensus for MASs is also investigated. Multiple single-link robot systems experiments verify that the approaches given in this paper are feasible and valid.
Page(s): 13920 - 13931
Date of Publication: 14 March 2025

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Author image of Jin-Liang Wang
Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin, China
Jin-Liang Wang (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, in January 2014.
From 2014 to 2016, he was a Lecturer and from 2017 to 2019, he was an Associate Professor with the School of Computer Science and Technology, Tiangong University, Tianjin, China, where he has been a Pro...Show More
Jin-Liang Wang (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, in January 2014.
From 2014 to 2016, he was a Lecturer and from 2017 to 2019, he was an Associate Professor with the School of Computer Science and Technology, Tiangong University, Tianjin, China, where he has been a Pro...View more
Author image of Xiao Han
School of Mechanical Engineering, Tiangong University, Tianjin, China
Xiao Han received the B.E. degree in software engineering and the M.E. degree in computer technology from Tiangong University, Tianjin, China, in 2016 and 2019, respectively, where she is currently pursuing the Ph.D. degree in mechanical engineering with the School of Mechanical Engineering. Her current research interests include multiagent systems, passivity, and consensus.
Xiao Han received the B.E. degree in software engineering and the M.E. degree in computer technology from Tiangong University, Tianjin, China, in 2016 and 2019, respectively, where she is currently pursuing the Ph.D. degree in mechanical engineering with the School of Mechanical Engineering. Her current research interests include multiagent systems, passivity, and consensus.View more
Author image of Shun-Yan Ren
School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China
Shun-Yan Ren received the B.S. degree in mathematics from Langfang Normal University, Langfang, China, in 2007, and the Ph.D. degree in mechanical design and theory from Tiangong University, Tianjin, China, in 2021. She is currently a Post-Doctoral Researcher with the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. Her research interests include pa...Show More
Shun-Yan Ren received the B.S. degree in mathematics from Langfang Normal University, Langfang, China, in 2007, and the Ph.D. degree in mechanical design and theory from Tiangong University, Tianjin, China, in 2021. She is currently a Post-Doctoral Researcher with the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. Her research interests include pa...View more
Author image of Tingwen Huang
Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China
Tingwen Huang (Fellow, IEEE) received the B.S. degree in mathematics from Southwest Normal University, Chongqing, China, in 1990, the M.S. degree in applied mathematics from Sichuan University, Chengdu, China, in 1993, and the Ph.D. degree in mathematics from Texas A&M University, College Station, TX, USA, in 2002.
He was a Lecturer with Jiangsu University, Zhenjiang, China, from 1994 to 1998, and a Visiting Assistant Prof...Show More
Tingwen Huang (Fellow, IEEE) received the B.S. degree in mathematics from Southwest Normal University, Chongqing, China, in 1990, the M.S. degree in applied mathematics from Sichuan University, Chengdu, China, in 1993, and the Ph.D. degree in mathematics from Texas A&M University, College Station, TX, USA, in 2002.
He was a Lecturer with Jiangsu University, Zhenjiang, China, from 1994 to 1998, and a Visiting Assistant Prof...View more

Author image of Jin-Liang Wang
Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin, China
Jin-Liang Wang (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, in January 2014.
From 2014 to 2016, he was a Lecturer and from 2017 to 2019, he was an Associate Professor with the School of Computer Science and Technology, Tiangong University, Tianjin, China, where he has been a Professor since 2020. As the first author, he has published 6 monographs: Analysis and Control of Coupled Neural Networks with Reaction-Diffusion Terms (Springer, 2018), Analysis and Control of Output Synchronization for Complex Dynamical Networks (Springer, 2019), Passivity of Complex Dynamical Networks: Analysis, Control and Applications (Springer, 2021), Dynamical Behaviors of Fractional-Order Complex Dynamical Networks (Springer, 2024), Cooperative Control of Nonlinear Multiagent Systems: Passivity-Based and Non-Passivity-Based Approaches (Elsevier, 2024), and Dynamical Behaviors of Multiweighted Complex Network Systems (IEEE, 2024). His current research interests include complex networks, coupled neural networks, multiagent systems, and fractional-order systems.
Prof. Wang was a Managing Guest Editor of the Special Issue on Dynamical Behaviors of Coupled Neural Networks with Reaction-Diffusion Terms: Analysis, Control and Applications in Neurocomputing. He also serves as an Associate Editor for the Neurocomputing, the International Journal of Adaptive Control and Signal Processing, and IEEE Systems, Man, and Cybernetics Magazine, and Complex & Intelligent Systems.
Jin-Liang Wang (Senior Member, IEEE) received the Ph.D. degree in control theory and control engineering from the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, in January 2014.
From 2014 to 2016, he was a Lecturer and from 2017 to 2019, he was an Associate Professor with the School of Computer Science and Technology, Tiangong University, Tianjin, China, where he has been a Professor since 2020. As the first author, he has published 6 monographs: Analysis and Control of Coupled Neural Networks with Reaction-Diffusion Terms (Springer, 2018), Analysis and Control of Output Synchronization for Complex Dynamical Networks (Springer, 2019), Passivity of Complex Dynamical Networks: Analysis, Control and Applications (Springer, 2021), Dynamical Behaviors of Fractional-Order Complex Dynamical Networks (Springer, 2024), Cooperative Control of Nonlinear Multiagent Systems: Passivity-Based and Non-Passivity-Based Approaches (Elsevier, 2024), and Dynamical Behaviors of Multiweighted Complex Network Systems (IEEE, 2024). His current research interests include complex networks, coupled neural networks, multiagent systems, and fractional-order systems.
Prof. Wang was a Managing Guest Editor of the Special Issue on Dynamical Behaviors of Coupled Neural Networks with Reaction-Diffusion Terms: Analysis, Control and Applications in Neurocomputing. He also serves as an Associate Editor for the Neurocomputing, the International Journal of Adaptive Control and Signal Processing, and IEEE Systems, Man, and Cybernetics Magazine, and Complex & Intelligent Systems.View more
Author image of Xiao Han
School of Mechanical Engineering, Tiangong University, Tianjin, China
Xiao Han received the B.E. degree in software engineering and the M.E. degree in computer technology from Tiangong University, Tianjin, China, in 2016 and 2019, respectively, where she is currently pursuing the Ph.D. degree in mechanical engineering with the School of Mechanical Engineering. Her current research interests include multiagent systems, passivity, and consensus.
Xiao Han received the B.E. degree in software engineering and the M.E. degree in computer technology from Tiangong University, Tianjin, China, in 2016 and 2019, respectively, where she is currently pursuing the Ph.D. degree in mechanical engineering with the School of Mechanical Engineering. Her current research interests include multiagent systems, passivity, and consensus.View more
Author image of Shun-Yan Ren
School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China
Shun-Yan Ren received the B.S. degree in mathematics from Langfang Normal University, Langfang, China, in 2007, and the Ph.D. degree in mechanical design and theory from Tiangong University, Tianjin, China, in 2021. She is currently a Post-Doctoral Researcher with the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. Her research interests include passivity, consensus, complex networks, and multiagent systems.
Shun-Yan Ren received the B.S. degree in mathematics from Langfang Normal University, Langfang, China, in 2007, and the Ph.D. degree in mechanical design and theory from Tiangong University, Tianjin, China, in 2021. She is currently a Post-Doctoral Researcher with the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. Her research interests include passivity, consensus, complex networks, and multiagent systems.View more
Author image of Tingwen Huang
Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China
Tingwen Huang (Fellow, IEEE) received the B.S. degree in mathematics from Southwest Normal University, Chongqing, China, in 1990, the M.S. degree in applied mathematics from Sichuan University, Chengdu, China, in 1993, and the Ph.D. degree in mathematics from Texas A&M University, College Station, TX, USA, in 2002.
He was a Lecturer with Jiangsu University, Zhenjiang, China, from 1994 to 1998, and a Visiting Assistant Professor with Texas A&M University in 2003. From 2003 to 2009, he was an Assistant Professor from 2009 to 2013, an Associate Professor, and since 2013, has been a Professor with Texas A&M University at Qatar, Doha, Qatar. He has been a Professor with the Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China, since 2024. His research interests include neural networks, complex networks, chaos and dynamics of systems, and operator semi-groups and their applications.
Tingwen Huang (Fellow, IEEE) received the B.S. degree in mathematics from Southwest Normal University, Chongqing, China, in 1990, the M.S. degree in applied mathematics from Sichuan University, Chengdu, China, in 1993, and the Ph.D. degree in mathematics from Texas A&M University, College Station, TX, USA, in 2002.
He was a Lecturer with Jiangsu University, Zhenjiang, China, from 1994 to 1998, and a Visiting Assistant Professor with Texas A&M University in 2003. From 2003 to 2009, he was an Assistant Professor from 2009 to 2013, an Associate Professor, and since 2013, has been a Professor with Texas A&M University at Qatar, Doha, Qatar. He has been a Professor with the Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China, since 2024. His research interests include neural networks, complex networks, chaos and dynamics of systems, and operator semi-groups and their applications.View more

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