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E-raamat: Consensus Problem of Delayed Linear Multi-agent Systems: Analysis and Design

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In the context of coupled-coordination control mechanisms, this book focuses on the delay robustness of consensus problems with asynchronously coupled and synchronously coupled consensus algorithms respectively. Moreover, constructive consensus algorithms that tolerate larger communication delays are proposed according to idea of compensation. By providing rigorous theoretical proofs and numerous numerical simulations, it enhances readers’ understanding of the consensus coordination control mechanism of multi-agent systems with communication delays.

1 Introduction
1(12)
1.1 Collective Behavior Under Distributed Coordination Control
1(1)
1.2 Topology Description of Interconnection Structure
2(1)
1.3 Consensus Tracking of Multi-agent Systems
3(4)
1.4 Delay Effect on Consensus Seeking
7(3)
1.4.1 Communication Delay Effect
7(2)
1.4.2 Input Delay Effect
9(1)
1.5 Notes
10(3)
References
10(3)
2 Consensus of Homogeneous Multi-agent Systems with Time Delays
13(32)
2.1 Motivation
13(1)
2.2 Multiple First-Order Agents
13(3)
2.3 Multiple Second-Order Agents
16(16)
2.3.1 Stationary Consensus Algorithms with Time Delays
17(6)
2.3.2 Dynamical Consensus Algorithms with Time Delays
23(9)
2.4 Multiple Single-Input and Single-Output Linear Agents
32(9)
2.4.1 Agents' Dynamics Description
32(2)
2.4.2 Delay-Dependent Consensus Criterion
34(4)
2.4.3 Application to Second-Order Multi-agent Systems
38(3)
2.5 Notes
41(4)
References
42(3)
3 Consensus of Heterogeneous Multi-agent Systems with Time Delays
45(34)
3.1 Motivation
45(1)
3.2 Mixed System of First-Order and Second-Order Agents
46(11)
3.2.1 Stationary Consensus Seeking
46(6)
3.2.2 Dynamical Consensus Seeking
52(5)
3.3 Mixed System of Two-Class General Linear Dynamical Agents
57(11)
3.3.1 Mixed Agents' Dynamics
57(2)
3.3.2 Consensus Criterion for Linear Dynamic Agents
59(7)
3.3.3 Discussion for First-Order and Second-Order Agents
66(2)
3.4 Heterogeneous General Linear First-Order Multi-agent Systems
68(7)
3.4.1 General First-Order Agents and Consensus Algorithm
68(2)
3.4.2 Consensus Seeking Under Symmetric Topology
70(4)
3.4.3 Consensus Under Input and Communication Delays
74(1)
3.5 Notes
75(4)
References
76(3)
4 Difference-Compensated Consensus Algorithms
79(20)
4.1 Motivation
79(1)
4.2 Asynchronously Compensated Consensus Algorithm
80(9)
4.2.1 Design of Consensus Algorithm
80(2)
4.2.2 Consensus Convergence Analysis
82(7)
4.3 Leader-Following Asynchronously Compensated Consensus Algorithm
89(7)
4.3.1 Delay-Independent Consensus Criterion
91(3)
4.3.2 Delay-Dependent Consensus Criterion
94(2)
4.4 Notes
96(3)
References
98(1)
5 Predictor-Based Consensus Algorithms
99(24)
5.1 Motivation
99(1)
5.2 General First-Order Multi-agent Systems
100(7)
5.2.1 Synchronously Coupled Algorithm
101(1)
5.2.2 Asynchronously Coupled Algorithm
102(2)
5.2.3 Predictor-Based Algorithm
104(3)
5.3 Synchronous Oscillation of Multiple Harmonic Oscillators
107(7)
5.3.1 Harmonic Oscillators and Distributed Algorithm
107(1)
5.3.2 Delay Robustness of Predictor-Based Consensus Algorithm
108(6)
5.4 Consensus Seeking of High-Order Multi-agent Systems
114(7)
5.4.1 Final Collective Behavior Under Predictor-Based Algorithm
116(1)
5.4.2 Consensus Convergence Criteria
117(4)
5.5 Notes
121(2)
References
121(2)
Index 123
Cheng-Lin Liu is an associate professor at Jiangnan University. His research interests include distributed coordination control of multi-agent systems, networked control system, iterative learning control. He has published over 30 Journal papers in recent years, of which 15 are international and SCI journal papers. He won the Outstanding Doctoral Dissertation Award of Southeast University, Nanjing, China, in 2010. He has been invited to be a peer reviewer for international journals, including: Automatica, International Journal of Robust and Nonlinear Control, IET Control Theory and Applications, Journal of the Franklin Institute, International Journal of Systems Science, etc. Fei Liu is a professor at Jiangnan University. His research interests include advanced control theory and applications, batch process control engineering, distributed control systems and coordination control of multi-agent systems. He has been invited to be a peer reviewer for international journals, including: IEEE Trans on Automatic Control, Automatica, IEEE Trans on Industrial Electronics, Journal of Process Control, International Journal of Robust and Nonlinear Control, etc.