Networked Control Under Communication Constraints - Kun LIU, Emilia Fridman, Yuanqing Xia

Networked Control Under Communication Constraints (eBook)

A Time-Delay Approach

, , (Autoren)

eBook Download: PDF
2020 | 1st ed. 2020
XVI, 258 Seiten
Springer Singapore (Verlag)
978-981-15-4230-5 (ISBN)
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128,39 € inkl. MwSt
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This book presents a time-delay approach to the analysis and synthesis of networked control systems (NCSs) under communication constraints. Differently from other approaches, the time-delay approach to NCSs allows communication delays to be larger than the sampling intervals in the presence of scheduling protocols. The book starts from a comprehensive introduction to three main approaches to sampled-data and networked control. It then focuses on time-delay approach, and the modelling of the closed-loop systems in the form of time-delay system. It presents discontinuous (in time) Lyapunov functional constructions that are efficient for NCSs in the presence of communications delays. Further, it highlights time-delay approaches developed to model and analyze NCSs under communication constraints, with a particular focus on dynamic quantization, round-robin, try-once-discard and stochastic protocols. The results are first presented for the continuous-time NCSs and then extended to discrete-time NCSs. Discussing recent developments in Lyapunov-based analysis of NCSs under communication constraints, the book is a valuable resource for researchers interested in sampled-data and networked control, and time-delay systems, as well as for graduate students in automatic control and systems theory.

Prof. Liu received the Ph.D. degree in the Department of Electrical Engineering and Systems from Tel Aviv University, Tel Aviv, Israel, in December 2012. From February 2013 to February 2015 he was a postdoctoral researcher at the ACCESS Linnaeus Centre, KTH Royal Institute of Technology, Stockholm, Sweden. From March 2015 to August 2015 he held Researcher, Visiting, and Research Associate positions at, respectively, KTH Royal Institute of Technology, Stockholm, Sweden, CNRS, Laboratory for Analysis and Architecture of Systems, Toulouse, France, and The University of Hong Kong, Hong Kong. From June 2018 to July 2018, he was a Visiting Scholar with INRIA, Lille, France.  Since September 2015 he is an Associate Professor at the School of Automation, Beijing Institute of Technology, China. His research interests include networked control, time-delay systems and security control. He has published more than 60 articles in scientific journals and conferences. Currently he serves as Associate Editor in IMA Journal of Mathematical Control and Information, Journal of Beijing Institute of Technology.


This book presents a time-delay approach to the analysis and synthesis of networked control systems (NCSs) under communication constraints. Differently from other approaches, the time-delay approach to NCSs allows communication delays to be larger than the sampling intervals in the presence of scheduling protocols. The book starts from a comprehensive introduction to three main approaches to sampled-data and networked control. It then focuses on time-delay approach, and the modelling of the closed-loop systems in the form of time-delay system. It presents discontinuous (in time) Lyapunov functional constructions that are efficient for NCSs in the presence of communications delays. Further, it highlights time-delay approaches developed to model and analyze NCSs under communication constraints, with a particular focus on dynamic quantization, round-robin, try-once-discard and stochastic protocols. The results are first presented for the continuous-time NCSs and then extended to discrete-time NCSs. Discussing recent developments in Lyapunov-based analysis of NCSs under communication constraints, the book is a valuable resource for researchers interested in sampled-data and networked control, and time-delay systems, as well as for graduate students in automatic control and systems theory.

Preface 7
Contents 10
Symbols and Acronyms 14
1 Introduction 16
1.1 Networked Control Systems 16
1.2 Fundamental Issues in NCSs 17
1.3 Three Main Approaches to NCSs 20
1.3.1 Discrete-Time Modeling Approach 21
1.3.2 Impulsive System Approach 22
1.3.3 Time-Delay Approach 23
1.4 Monograph Overview 35
1.5 Notes 37
2 Stabilization of NCSs via Discontinuous Lyapunov Functionals 39
2.1 Problem Formulation 39
2.1.1 Static Output-Feedback Control 40
2.1.2 State-Feedback Control 43
2.2 Exponential Stability and L2-Gain Analysis 43
2.3 Application to Network-Based Design 52
2.3.1 State-Feedback Design 52
2.3.2 Static Output-Feedback Hinfty Control 53
2.4 Numerical Examples 54
2.5 Notes 56
3 Wirtinger's Inequality and Sampled-Data Control 58
3.1 Problem Formulation 58
3.2 Stabilization via Novel Lyapunov Functionals 60
3.2.1 Stabilization via Simple Lyapunov Functional 62
3.2.2 Stability via Discretized Lyapunov Functional 66
3.3 Sampled-Data Stabilization by Using the Delayed Measurements 69
3.4 Notes 71
4 Networked Control Under Round-Robin Protocol 72
4.1 Stability and L2-Gain Analysis of NCSs Under Round-Robin Protocol 72
4.1.1 Problem Formulation and a Switched System Model 72
4.1.2 Stability and L2-Gain Analysis of NCSs: Variable Delay 78
4.1.3 Stability and L2-Gain Analysis of NCSs: Constant Delay 83
4.1.4 Stability and L2-Gain Analysis of Sampled-Data Systems 87
4.2 Numerical Examples 89
4.3 Notes 93
5 NCSs in the Presence of TOD and Round-Robin Protocols 94
5.1 Problem Formulation and the Novel Hybrid Model 94
5.1.1 The Description of NCSs 94
5.1.2 A Hybrid Model via Time-Delay Approach 96
5.1.3 Scheduling Protocols 98
5.2 ISS Under TOD Protocol: General N 100
5.3 ISS Under TOD/Round-Robin Protocol: N=2 105
5.4 ISS Under Round-Robin Protocol: N2 107
5.5 Numerical Examples 110
5.6 Notes 113
6 Networked Control Under Stochastic Protocol 114
6.1 Problem Formulation 115
6.1.1 The Description of NCSs 115
6.1.2 The Impulsive System Model 116
6.1.3 Stochastic Protocols 118
6.2 NCSs Under Iid Stochastic Protocol 119
6.2.1 Stochastic Impulsive Time-Delay Model with Bernoulli-Distributed Parameters 119
6.2.2 Exponential Mean-Square Stability of Stochastic Impulsive Delayed System 120
6.3 NCSs Under Markovian Stochastic Protocol 123
6.4 Simulation Results 127
6.5 Notes 130
7 Decentralized NCSs with Local Networks Under TOD/Round-Robin Protocol 131
7.1 Problem Formulation 132
7.2 NCSs Under Scheduling Protocols 134
7.2.1 Round-Robin Protocol and the Closed-Loop Model 134
7.2.2 TOD Protocol and the Closed-Loop Model 135
7.2.3 Lyapunov-Based Analysis Under Round-Robin Protocol 137
7.2.4 Lyapunov-Based Analysis Under TOD Protocol 141
7.3 Decentralized Networked Control 146
7.4 Notes 149
8 Dynamic Quantization of Uncertain Linear NCSs 151
8.1 System Model and Preliminaries 152
8.1.1 Quantized NCSs 152
8.1.2 The Closed-Loop Model and Solution Bounds 153
8.2 Dynamic Quantization of NCSs 155
8.2.1 Initial and Level Sets 155
8.2.2 Dynamic Quantization and Zooming Algorithm 156
8.2.3 Initialization of the Zoom Variable 159
8.3 Numerical Example: Uncertain Inverted Pendulum 162
8.4 Notes 164
9 Discrete-Time Network-Based Control Under Scheduling and Actuator Constraints 166
9.1 Discrete-Time NCSs with Actuator Saturation Under Round-Robin Protocol 167
9.1.1 Problem Formulation and a Switched System Model 167
9.1.2 Solution Bounds 169
9.2 Discrete-Time NCSs with Actuator Saturation Under TOD Protocol 172
9.2.1 Problem Formulation and a Hybrid Time-Delay Model 172
9.2.2 Partial Exponential Stability of Hybrid Delayed System Without Actuator Saturation 174
9.2.3 Partial Exponential Stability of Hybrid Delayed System with Actuator Saturation 178
9.3 Example: Discrete-Time Cart-Pendulum 180
9.4 Notes 182
10 Quantized Control of Discrete-Time Systems Under Round-Robin Protocol 183
10.1 NCS Model and Problem Formulation 183
10.1.1 Quantized NCS Under Round-Robin Protocol 184
10.1.2 Switched System Model with Ordered Time-Varying Delays 186
10.1.3 ISS Under Round-Robin Protocol and Static Quantization 187
10.2 Dynamic Quantization of NCSs Under Round-Robin Protocol 189
10.2.1 Initial and Level Sets 190
10.2.2 Dynamic Quantization and Zooming Algorithm 191
10.2.3 Initialization of the Zoom Variable 193
10.3 Illustrative Examples 196
10.3.1 Inverted Pendulum 196
10.3.2 Quadruple-Tank Process 199
10.4 Notes 202
11 Stability Conditions for Discrete-Time Systems Under Dynamic Protocols 203
11.1 Discrete-Time NCS Model and Preliminaries 203
11.1.1 Description of System Data 204
11.1.2 Dynamic Scheduling Protocols 205
11.2 A Discrete-Time Hybrid System Model 206
11.3 Preliminary Results on Discrete-Time Systems with Time-Varying Delays 207
11.4 Discrete-Time NCSs Under TOD Protocol 215
11.5 Discrete-Time NCSs Under Stochastic Protocol 220
11.5.1 Stochastic Hybrid Time-Delay Model with Bernoulli-Distributed Parameters 220
11.5.2 Exponential Mean-Square Stability of NCSs Under Stochastic Protocol 221
11.6 Numerical Example 226
11.7 Notes 227
12 Decentralized Networked Control of Discrete-Time Systems with Local Networks 229
12.1 Problem Formulation and Preliminaries 230
12.2 Stability of Decentralized Networked Control Under TOD Protocol 231
12.3 l2-Gain Analysis of the Large-Scale System 242
12.4 Decentralized Control Under Round-Robin Protocol 244
12.5 Example: Two Coupled Inverted Pendulums 246
12.6 Notes 248
Appendix Appendix 249
A.1 Proof of Theorem 5.1????eflinkch5:thm:ISS:TOD:N5.15 249
A.2 Proof of Lemma 5.3????eflinkch5:lemma:RR:N5.35 250
A.3 Proof of Lemma 8.1????eflinkch8:lem:ISS8.18 252
A.4 Proof of Lemma 8.2????eflinkch8:lem:quan:static8.28 253
A.5 Proof of Lemma 10.1????eflinkch10:lem:RR:dis:ISS10.110 253
Appendix References 255
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Erscheint lt. Verlag 27.4.2020
Reihe/Serie Advances in Delays and Dynamics
Advances in Delays and Dynamics
Zusatzinfo XVI, 258 p. 40 illus., 32 illus. in color.
Sprache englisch
Themenwelt Mathematik / Informatik ► Informatik ► Theorie / Studium
Naturwissenschaften
Technik ► Elektrotechnik / Energietechnik
Technik ► Nachrichtentechnik
Schlagworte Discontinuous Lyapunov functional • Dynamic quantization • Lyapunov–Krasovskii method • Networked control systems • Scheduling protocols • Time-delay approach
ISBN-10 981-15-4230-9 / 9811542309
ISBN-13 978-981-15-4230-5 / 9789811542305
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