This book reports on the latest findings concerning nonlinear control theory and applications. It presents novel work on several kinds of commonly encountered nonlinear time-delay systems, including those whose nonlinear terms satisfy high-order polynomial form or general nonlinear form, those with nonlinear input or a triangular structure, and so on. As such, the book will be of interest to university researchers, R&D engineers and graduate students in the fields of control theory and control engineering who wish to learn about the core principles, methods, algorithms, and applications of nonlinear time-delay systems.
Arvustused
This book reports recent findings concerning nonlinear control theory and its applications. The target audience includes university researchers, research and development engineers, and graduate students in the fields of control theory who wish to learn about the principles, methods, algorithms, and applications of nonlinear time-delay systems. (IEEE Control Systems Magazine, Vol.37 (6), December) It provides an insightful analysis of a spectrum of problems on robust control for nonlinear time-delay systems, and undoubtedly enriches the content of nonlinear system theory and time-delay system theory. It is a valuable reference for interested researchers and advanced graduate students. (Zhaoxu Yu, Mathematical Reviews, January, 2018)
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1 | (12) |
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1 | (2) |
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1.2 Description of Nonlinear Time-Delay Systems |
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3 | (3) |
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1.2.1 Quasi Nonlinear Time-Delay Systems |
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3 | (1) |
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1.2.2 Pure Nonlinear Time-Delay Systems |
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4 | (1) |
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1.2.3 Interconnected Nonlinear Time-Delay Systems |
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5 | (1) |
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1.3 Problems Studied in This Book |
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6 | (3) |
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1.3.1 High-Order Polynomial Uncertainties |
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6 | (1) |
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1.3.2 General Uncertainties |
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7 | (1) |
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7 | (1) |
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1.3.4 System with Lower Triangular Structure |
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8 | (1) |
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9 | (4) |
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Part I High-Order Polynomial Nonlinear Uncertainties |
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2 Robust Stabilization of Single Nonlinear Time-Delay System |
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13 | (14) |
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13 | (1) |
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2.2 System Formulation and Preliminaries |
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14 | (2) |
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2.3 Adaptive Robust State Feedback Controller |
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16 | (3) |
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2.4 Novel Nonlinear Feedback Controller |
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19 | (3) |
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22 | (4) |
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26 | (1) |
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3 Robust Model Reference Adaptive Control for Interconnected Time-Delay Systems |
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27 | (16) |
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27 | (1) |
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3.2 System Formulation and Preliminaries |
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28 | (2) |
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30 | (5) |
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35 | (4) |
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39 | (4) |
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Part II General Nonlinear Uncertainties |
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4 Decentralized Adaptive Control for Interconnected Time-Delay Systems |
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43 | (18) |
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43 | (1) |
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4.2 System Formulation and Preliminaries |
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44 | (2) |
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4.3 Decentralized Feedback Control |
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46 | (4) |
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4.4 Application to Decentralized Control for a Class of Interconnected Systems |
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50 | (4) |
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4.5 Illustrative Examples |
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54 | (5) |
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59 | (2) |
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5 Memoryless State Feedback Control for Uncertain Nonlinear Time-Delay System |
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61 | (14) |
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61 | (1) |
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62 | (1) |
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63 | (8) |
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71 | (2) |
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73 | (2) |
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6 Exponential Stabilization for Interconnected Time-Delay Systems |
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75 | (18) |
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75 | (1) |
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6.2 System Formulation and Preliminaries |
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76 | (2) |
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78 | (10) |
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88 | (2) |
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90 | (3) |
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7 Robust Adaptive Control for Time-Delay System via T-S Fuzzy Approach |
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93 | (22) |
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93 | (1) |
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7.2 System Formulation and Assumptions |
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94 | (4) |
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7.3 Virtual Control Design |
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98 | (3) |
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101 | (6) |
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107 | (5) |
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112 | (3) |
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8 Adaptive Tracking of Time-Delay System with Unknown Dead-Zone Input |
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115 | (14) |
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115 | (1) |
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116 | (2) |
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118 | (7) |
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125 | (3) |
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128 | (1) |
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9 Decentralized Fuzzy Networked Control Systems Design with Sector Input |
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129 | (30) |
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129 | (1) |
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9.2 System Formulation and Assumptions |
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130 | (3) |
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9.3 Virtual Control Design |
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133 | (3) |
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136 | (11) |
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9.4.1 Parameters Known Case |
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137 | (7) |
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9.4.2 Parameters Unknown Case |
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144 | (3) |
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147 | (8) |
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155 | (4) |
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Part IV Time-Delay System with Lower Triangular Structure |
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10 Robust Control for a Class of Time-Delay System via Razumikhin Lemma |
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159 | (14) |
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159 | (1) |
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10.2 Problem Formulation and Preliminaries |
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160 | (2) |
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162 | (9) |
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171 | (2) |
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11 Backstepping Control for Nonlinear Time-Delay System via L-K Function |
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173 | (20) |
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173 | (1) |
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11.2 System Description and Preliminaries |
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174 | (2) |
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11.3 Controller Design for the Second-Order System |
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176 | (4) |
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11.4 Extension to the nth-Order System |
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180 | (5) |
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11.5 Application to Chemical Reactor Systems |
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185 | (2) |
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187 | (4) |
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191 | (2) |
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12 NN-Based Output Feedback Tracking of Nonlinear Time-Delay System |
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193 | (22) |
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193 | (1) |
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12.2 System Formulation and Some Assumptions |
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194 | (3) |
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12.3 Preliminary Knowledge |
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197 | (1) |
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198 | (2) |
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200 | (8) |
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12.6 Choosing Proper Functions |
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208 | (3) |
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211 | (3) |
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214 | (1) |
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13 Output Feedback Stabilization for Interconnected Time-Delay Systems |
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215 | (32) |
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215 | (1) |
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216 | (4) |
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13.3 Robust Controller Design |
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220 | (12) |
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220 | (2) |
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222 | (10) |
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13.4 Adaptive Neural Network Control |
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232 | (8) |
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13.5 Simulation Investigation |
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240 | (6) |
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246 | (1) |
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14 Robust Control of Time-Delay System with Unknown Control Direction |
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247 | (24) |
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247 | (1) |
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248 | (1) |
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249 | (2) |
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251 | (2) |
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14.5 Controller Design: Known Bound Functions |
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253 | (7) |
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14.6 Controller Design: Unknown Bound Functions |
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260 | (4) |
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264 | (6) |
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270 | (1) |
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15 Decentralized Prescribed Performance Tracking of Stochastic Time-Delay System |
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271 | (20) |
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271 | (1) |
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15.2 System Formulation and Preliminaries |
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272 | (4) |
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15.2.1 Problem Formulation |
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272 | (3) |
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15.2.2 Basic Knowledge on Stochastic System |
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275 | (1) |
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276 | (11) |
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15.3.1 Reduced-Order Observer Design |
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276 | (2) |
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15.3.2 Prescribed Performance Transformation |
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278 | (1) |
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15.3.3 Adaptive Neural Network Controller Design |
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278 | (9) |
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287 | (3) |
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290 | (1) |
References |
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Changchun Hua received the Ph.D degree in electrical engineering from Yanshan University, Qinhuangdao, China, in 2005. He was a research Fellow in National University of Singapore from 2006 to 2007. From 2007 to 2009, he worked in Carleton University, Canada, funded by Province of Ontario Ministry of Research and Innovation Program. From 2009 to 2011, he worked in University of Duisburg Essen, Germany, funded by Alexander von Humboldt Foundation. Now he is a full Professor in Yanshan University, China. He is the author or coauthor of more than 110 papers in mathematical, technical journals, and conferences. He has been involved in more than 10 projects supported by the National Natural Science Foundation of China, the National Education Committee Foundation of China, and other important foundations. His research interests are in nonlinear control systems, control systems design over network, teleoperation systems and intelligent control.
Liuliu Zhang received herB.Sc. degree in electrical engineering from Yanshan University, Qinhuangdao, China, in 2012. She is currently working toward the Ph.D degree in electrical engineering. Her research interests is in nonlinear time-delay system control, multi-agent systems.
Xinping Guan received the B.S. degree in mathematics from Harbin Normal University, Harbin, China, and the M.S. degree in applied mathematics and the Ph.D. degree in electrical engineering, both from Harbin Institute of Technology, in 1986, 1991, and 1999, respectively. He is with the Department of Automation, Shanghai Jiao Tong University. He is the (co)author of more than 200 papers in mathematical, technical journals, and conferences. As (a)an (co)-investigator, he has finished more than 20 projects supported by National Natural Science Foundation of China (NSFC), the National Education Committee Foundation of China, and other important foundations. He is Cheung Kong Scholars Programme Special appointment professor. His current research interests include networked control systems, robust control and intelligent control for complex systems and their applications. Dr. Guan is serving as a Reviewer of Mathematic Review of America, a Member of the Council of Chinese Artificial Intelligence Committee, and Chairman of Automation Society of Hebei Province, China.