Cooperative Control of Nonlinear Multiagent Systems

Passivity-Based and Non-Passivity-Based Approaches

1st Edition - November 5, 2024
Authors: Jin-Liang Wang, Shun-Yan Ren, Huai-Ning Wu, Tingwen Huang
Language: English
Paperback ISBN:
9 7 8 - 0 - 4 4 3 - 2 7 3 2 6 - 1
eBook ISBN:
9 7 8 - 0 - 4 4 3 - 2 7 3 2 7 - 8

Cooperative Control for Nonlinear Multiagent Systems: Passivity-Based and Non-Passivity-Based Approaches focuses on the cooperative control of nonlinear multiagent systems contai… Read more

Cooperative Control of Nonlinear Multiagent Systems

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Cooperative Control for Nonlinear Multiagent Systems: Passivity-Based and Non-Passivity-Based Approaches focuses on the cooperative control of nonlinear multiagent systems containing passivity-based or non-passivity-based consensus, lag consensus, and formation control of multiagent systems. The book provides professional and convenient guidance for those who want to know basic knowledge, advancements, and processes for designing and analyzing cooperative control for nonlinear multiagent systems.

Currently, there are a lack of reference titles that systematically introduce students, researchers, and technologists to the backgrounds, developments, and designs protocols for cooperative control (contains passivity-based or not passivity-based consensus, lag consensus, formation control) of nonlinear multiagent systems.

Title of Book
Cover image
Title page
Table of Contents
Copyright
About the series editors
Preface
Acknowledgment
Chapter One: Consensus and H∞ consensus of nonlinear second-order multiagent systems
1.1. Introduction
1.2. Preliminaries
1.2.1. Notations
1.2.2. Lemma
1.3. Consensus of nonlinear second-order MASs
1.3.1. Problem description
1.3.2. State-feedback controller
1.3.3. Adaptive state-feedback controller
1.4. H∞ consensus of nonlinear second-order MASs
1.4.1. Problem description
1.4.2. State-feedback controller
1.4.3. Adaptive state-feedback controller
1.5. Numerical examples
1.6. Conclusion
Chapter Two: Finite-time consensus for directed multiagent systems with and without external disturbances
2.1. Introduction
2.2. Preliminaries
2.2.1. Notations
2.2.2. Lemmas
2.3. FTC of directed MASs
2.3.1. Problem description
2.3.2. FTC of MAS
2.4. FTHC of directed MAS
2.4.1. Problem description
2.4.2. FTHC of MAS
2.5. Numerical examples
2.6. Conclusion
Chapter Three: Lag consensus for nonlinear multiagent systems with and without external disturbances under PD and PI control
3.1. Introduction
3.2. Preliminaries
3.2.1. Notations
3.2.2. Communication graph
3.2.3. Lemma
3.3. The lag consensus for the MAS under the PD and PI control
3.3.1. MAS
3.3.2. The lag consensus for the MAS under the PD control
3.3.3. The lag consensus for the MAS under the PI control
3.4. The lag H∞ consensus for the MAS under the PD and PI control
3.4.1. MAS
3.4.2. The lag H∞ consensus for the MAS under the PD control
3.4.3. The lag H∞ consensus for the MAS under the PI control
3.5. Numerical examples
3.6. Conclusion
Chapter Four: Formation control for second-order multiagent systems with fixed and switching topologies
4.1. Introduction
4.2. Preliminaries
4.2.1. Notations
4.2.2. Graph theory
4.2.3. Lemmas
4.3. Fixed topology
4.3.1. Problem description
4.3.2. Formation control for the second-order nonlinear MAS
4.3.3. Formation control for the double-integrator MAS
4.4. Switching topology
4.4.1. Formation control for the second-order nonlinear MAS
4.4.2. Formation control for the double-integrator MAS
4.5. Numerical examples
4.6. Conclusion
Chapter Five: Passivity-based output consensus for second-order nonlinear multiagent systems
5.1. Introduction
5.2. Preliminaries
5.2.1. Notations
5.2.2. Lemma
5.2.3. MAS
5.3. Passivity-based output consensus for the MAS under state-feedback controller
5.3.1. OSP of the MAS
5.3.2. Output consensus of the MAS
5.4. Passivity-based output consensus for the MAS under adaptive state-feedback controller
5.4.1. OSP of the MAS
5.4.2. Output consensus of the MAS
5.5. Numerical examples
5.6. Conclusion
Chapter Six: Passivity-based finite-time synchronization for nonlinear multiagent systems
6.1. Introduction
6.2. Preliminaries
6.2.1. MAS
6.2.2. Notations
6.2.3. Lemma
6.2.4. Definition
6.3. Finite-time passivity and attractability of agent
6.3.1. FTP
6.3.2. Finite-time attractability
6.4. Passivity-based FTS for MAS
6.4.1. Linear coupling among agents
6.4.2. Nonlinear coupling among agents
6.5. Numerical examples
6.6. Conclusion
Chapter Seven: Passivity-based finite-time lag consensus and lag consensus for multiagent systems
7.1. Introduction
7.2. Preliminaries
7.2.1. Notations
7.2.2. MAS
7.2.3. Lemmas
7.2.4. Definitions
7.3. OSP-based lag consensus for the MAS
7.3.1. OSP of the MAS
7.3.2. OSP-based lag consensus for the MAS
7.4. FTP-based finite-time lag consensus for MAS
7.4.1. FTP of MAS
7.4.2. FTP-based finite-time lag consensus for MAS
7.5. Numerical results
7.6. Conclusion
Chapter Eight: Passivity-based formation control for multiagent systems with linear or nonlinear coupling
8.1. Introduction
8.2. Preliminaries
8.2.1. Notations
8.2.2. MAS
8.2.3. Definition
8.3. Passivity control of single agent
8.3.1. Nonlinear second-order MASs
8.3.2. Double-integrator MASs
8.4. Passivity-based formation control for MASs with linear coupling
8.4.1. Nonlinear second-order MASs
8.4.2. Double-integrator MASs
8.5. Passivity-based formation control for MASs with nonlinear coupling
8.5.1. Nonlinear second-order MASs
8.5.2. Double-integrator MASs
8.6. Numerical examples
8.7. Conclusion
Index

Jin-Liang Wang

Jin Liang Wang (Senior Member, IEEE) received a Ph.D. degree in control theory and control engineering from the School of Automation Science and Electrical Engineering, Beihang University, China, in January 2014. From 2014 to 2020, he has lectured and served as professor at the School of Computer Science and Technology, Tiangong University, China. He has authored 3 English academic monographs and over 40 SCI-indexed journal papers, which have been cited more than 1500 times. 11 first author papers were recognized by the ESI Highly Cited Papers, and 1 first author paper was selected as the ESI Hot Paper. His current research interests include synchronization, passivity, consensus, formation control, fractional-order systems, complex networks, coupled reaction-diffusion neural networks, and multiagent systems. Prof. Wang was a Managing Guest Editor for 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 Neurocomputing, the International Journal of Adaptive Control and Signal Processing, and Complex & Intelligent Systems.

Affiliations and expertise

Senior Member, IEEE

Tingwen Huang

Tingwen Huang (Fellow, IEEE) received his B.S. degree in Mathematics from Southwest Normal University, China, in 1990, a M.S. degree in Applied Mathematics from Sichuan University, China, in 1993, and a Ph.D. degree in Mathematics from Texas A&M University, College Station, USA, in 2002. He was a Lecturer with Jiangsu University, China, from 1994 to 1998, and a Visiting Assistant Professor with Texas A&M University, USA in 2003. He served as Assistant Professor and Associate Professor at Texas A&M University at Qatar, Qatar from 2003 to 2013, he has served as a Professor there since 2013. His current research interests include neural networks, complex networks, chaos and dynamics of systems, and operator semigroups and their applications.

Life Sciences

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Social Sciences & Humanities

Health