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E-raamat: Frequency-Domain Analysis and Design of Distributed Control Systems [Wiley Online]

  • Formaat: 288 pages
  • Sari: IEEE Press
  • Ilmumisaeg: 11-Sep-2012
  • Kirjastus: Wiley-IEEE Press
  • ISBN-10: 470828226
  • ISBN-13: 9780470828229
Teised raamatud teemal:
  • Wiley Online
  • Hind: 153,31 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
  • Formaat: 288 pages
  • Sari: IEEE Press
  • Ilmumisaeg: 11-Sep-2012
  • Kirjastus: Wiley-IEEE Press
  • ISBN-10: 470828226
  • ISBN-13: 9780470828229
Teised raamatud teemal:
"This book presents a unified frequency-domain method for the analysis of distributed control systems"--

Tian (Southeast U., China) uses a frequency-domain approach to cope with analysis and design problems in distributed control systems. Frequency-domain methods use frequency response properties of subsystems and communication channels to characterize the stability and performance criteria of a whole system, he says, and are considered more convenient than time-domain methods for analyzing the robustness of a system against noise and dynamic perturbation. He covers common features and mathematical models of distributed control systems, basic tools for analyzing and designing the underlying systems, distributed congestion control of communication networks, and the consensus control of multi-agent systems. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)

This book presents a unified frequency-domain method for the analysis of distributed control systems. The following important topics are discussed by using the proposed frequency-domain method: (1) Scalable stability criteria of networks of distributed control systems; (2) Effect of heterogeneous delays on the stability of a network of distributed control system; (3) Stability of Internet congestion control algorithms; and (4) Consensus in multi-agent systems. This book is ideal for graduate students in control, networking and robotics, as well as researchers in the fields of control theory and networking who are interested in learning and applying distributed control algorithms or frequency-domain analysis methods.
Preface xi
Glossary of Symbols xiii
1 Introduction
1(30)
1.1 Network-Based Distributed Control System
1(3)
1.2 Graph Theory and Interconnection Topology
4(12)
1.2.1 Basic Definitions
4(3)
1.2.2 Graph Operations
7(3)
1.2.3 Algebraic Graph Theory
10(6)
1.3 Distributed Control Systems
16(9)
1.3.1 End-to-End Congestion Control Systems
16(6)
1.3.2 Consensus-Based Formation Control
22(3)
1.4 Notes and References
25(6)
1.4.1 Graph Theory and Distributed Control Systems
25(1)
1.4.2 Delay in Control and Control by Delay
26(1)
References
26(5)
2 Symmetry, Stability and Scalability
31(36)
2.1 System Model
31(5)
2.1.1 Graph-Based Model of Distributed Control Systems
31(3)
2.1.2 Bipartite Distributed Control Systems
34(2)
2.2 Symmetry in the Frequency Domain
36(3)
2.2.1 Symmetric Systems
36(2)
2.2.2 Symmetry of Bipartite Systems
38(1)
2.3 Stability of Multivariable Systems
39(4)
2.3.1 Poles and Stability
39(2)
2.3.2 Zeros and Pole-Zero Cancelation
41(2)
2.4 Frequency-Domain Criteria of Stability
43(10)
2.4.1 Loop Transformation and Multiplier
44(1)
2.4.2 Multivariable Nyquist Stability Criterion
45(5)
2.4.3 Spectral Radius Theorem and Small-Gain Theorem
50(3)
2.4.4 Positive Realness Theorem
53(1)
2.5 Scalable Stability Criteria
53(11)
2.5.1 Estimation of Spectrum of Complex Matrices
53(3)
2.5.2 Scalable Stability Criteria for Asymmetric Systems
56(4)
2.5.3 Scalable Stability Criteria for Symmetric Systems
60(1)
2.5.4 Robust Stability in Deformity of Symmetry
61(3)
2.6 Notes and References
64(3)
References
65(2)
3 Scalability in the Frequency Domain
67(44)
3.1 How the Scalability Condition is Related with Frequency Responses
67(4)
3.2 Clockwise Property of Parameterized Curves
71(5)
3.3 Scalability of First-Order Systems
76(9)
3.3.1 Continuous-Time System
76(3)
3.3.2 Discrete-Time System
79(6)
3.4 Scalability of Second-Order Systems
85(18)
3.4.1 System of Type I
85(10)
3.4.2 System of Type II
95(8)
3.5 Frequency-Sweeping Condition
103(5)
3.5.1 Stable Quasi-Polynomials
103(2)
3.5.2 Frequency-Sweeping Test
105(3)
3.6 Notes and References
108(3)
References
109(2)
4 Congestion Control: Model and Algorithms
111(18)
4.1 An Introduction to Congestion Control
111(5)
4.1.1 Congestion Collapse
112(2)
4.1.2 Efficiency and Fairness
114(1)
4.1.3 Optimization-Based Resource Allocation
114(2)
4.2 Distributed Congestion Control Algorithms
116(3)
4.2.1 Penalty Function Approach and Primal Algorithm
116(1)
4.2.2 Dual Approach and Dual Algorithm
117(1)
4.2.3 Primal-Dual Algorithm
118(1)
4.2.4 REM: A Second-Order Dual Algorithm
118(1)
4.3 A General Model of Congestion Control Systems
119(7)
4.3.1 Framework of End-to-End Congestion Control under Diverse Round-Trip Delays
119(3)
4.3.2 General Primal-Dual Algorithm
122(2)
4.3.3 Frequency-Domain Symmetry of Congestion Control Systems
124(2)
4.4 Notes and References
126(3)
References
127(2)
5 Congestion Control: Stability and Scalability
129(64)
5.1 Stability of the Primal Algorithm
129(9)
5.1.1 Johari-Tan Conjecture
129(2)
5.1.2 Scalable Stability Criterion for Discrete-Time Systems
131(4)
5.1.3 Scalable Stability Criterion for Continuous-Time Systems
135(3)
5.2 Stability of REM
138(14)
5.2.1 Scalable Stability Criteria
138(7)
5.2.2 Dual Algorithm: the First-Order Limit Form of REM
145(1)
5.2.3 Design of Parameters of REM
146(6)
5.3 Stability of the Primal-Dual Algorithm
152(11)
5.3.1 Scalable Stability Criteria
152(9)
5.3.2 Proof of the Stability Criteria
161(2)
5.4 Time-Delayed Feedback Control
163(7)
5.4.1 Time-Delayed State as a Reference
163(2)
5.4.2 TDFC for Stabilization of an Unknown Equilibrium
165(1)
5.4.3 Limitation of TDFC in Stabilization
166(4)
5.5 Stabilization of Congestion Control Systems by Time-Delayed Feedback Control
170(18)
5.5.1 Introduction of TDFC into Distributed Congestion Control Systems
170(1)
5.5.2 Stabilizability under TDFC
171(10)
5.5.3 Design of TDFC with Commensurate Self-Delays
181(7)
5.6 Notes and References
188(5)
5.6.1 Stability of Congestion Control with Propagation Delays
188(1)
5.6.2 Time-Delayed Feedback Control
189(1)
References
190(3)
6 Consensus in Homogeneous Multi-Agent Systems
193(26)
6.1 Introduction to Consensus Problem
193(3)
6.1.1 Integrator Agent System
193(1)
6.1.2 Existence of Consensus Solution
194(1)
6.1.3 Consensus as a Stability Problem
194(1)
6.1.4 Discrete-Time Systems
195(1)
6.1.5 Consentability
195(1)
6.2 Second-Order Agent System
196(10)
6.2.1 Consensus and Stability
196(3)
6.2.2 Consensus and Consentability Condition
199(4)
6.2.3 Periodic Consensus Solutions
203(1)
6.2.4 Simulation Study
204(2)
6.3 High-Order Agent System
206(10)
6.3.3 System Model
206(2)
6.3.2 Consensus Condition
208(3)
6.3.3 Consentability
211(5)
6.4 Notes and References
216(3)
References
217(2)
7 Consensus in Heterogeneous Multi-Agent Systems
219(50)
7.1 Integrator Agent System with Diverse Input and Communication Delays
219(14)
7.1.1 Consensus in Discrete-Time Systems
220(1)
7.1.2 Consensus under Diverse Input Delays
221(3)
7.1.3 Consensus under Diverse Communication Delays and Input Delays
224(5)
7.1.4 Continuous-Time System
229(1)
7.1.5 Simulation Study
230(3)
7.2 Double Integrator System with Diverse Input Delays and Interconnection Uncertainties
233(10)
7.2.1 Leader-Following Consensus Algorithm
233(2)
7.2.2 Consensus Condition under Symmetric Coupling Weights
235(3)
7.2.3 Robust Consensus under Asymmetric Perturbations
238(2)
7.2.4 Simulation Study
240(3)
7.3 High-Order Consensus in High-Order Systems
243(12)
7.3.1 System Model
243(2)
7.3.2 Consensus Condition
245(4)
7.3.3 Existence of High-Order Consensus Solutions
249(3)
7.3.4 Constant Consensus
252(2)
7.3.5 Consensus in Ideal Networks
254(1)
7.4 Integrator-Chain Systems with Diverse Communication Delays
255(10)
7.4.1 Matching Condition for Self-Delay
255(1)
7.4.2 Adaptive Adjustment of Self-Delay
255(2)
7.4.3 Simulation Study
257(8)
7.5 Notes and References
265(4)
References
266(3)
Index 269
Yu-Ping Tian is a Professor of Automation at Southeast University. His research interests include analysis and control of communication networks, formation control of robots, chaos control and synchronization, and robust and adaptive control. He won the Guan Zhao Zhi Paper Award at the Chinese Control Conference in 1995 and the Best Theory Paper Award at the 3rd World Congress on Intelligent Control and Automation in 2000. He is the recipient of the Chang Jiang Professorship awarded by the Education Ministry of China and the Distinguished Young Scholar Award of the National Natural Science Foundation of China. He has held visiting positions in Central Queensland University (1998, 2001), University of California at Berkeley (2002), and City University of Hong Kong (2004). Tian received a Bachelors degree from Tsinghua University, a Ph.D. degree from Moscow Power Institute and an Sc.D. degree from Taganrog State Radio-engineering University, Taganrog, Russia, in 1996. All his degrees are in Electrical Engineering.