Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H8 control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems.
This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems.
- Discusses recent advances in analysis and synthesis problems for linear singular systems and nonlinear singular systems
- Offers a base for further theoretical research as well as a design guide for engineering applications of singular systems
- Presents several necessary and sufficient conditions for delay-free singular systems and some less conservative results for time-delay singular systems
Arvustused
"Singular systems are called descriptor systems or generalized state-space systems. They frequently appear in vehicle suspension systems, flexible robots, large-scale electric networks, chemical engineering systems, and complex ecosystems. Singular systems are a more natural description of dynamic systems than the standard state-space systems. This is due to the fact that singular systems can preserve the structure of physical systems more than accurately by including non-dynamic constraints and impulsive elements. In other words, singular systems are described by differential equations coupled with functional equa tions. Consequently, the stability problem is much more complicated than that for standard state-space systems, because it requires considering not only stability, but also regularity and absence of impulses (for continuous-time singular systems) and causality (for discrete-time singular systems). These are some reasons that singular systems not only have practical significance, but also are of great theoretical inter est. The purpose of this book is to present a systematic theory about analysis and synthesis of singular systems by introducing recent theoretical findings. In very few words, this book includes the following eight chapters, namely: Chapter 1 is the introduction; in Chapter 2 dissipative control and filtering for discrete-time linear singular systems are considered; in Chapter 3 the H-control with transients problem for nonzero initial conditions is solved; in Chapters 4 and 5, considering the time delay, the problems of delay-dependent H-control and dissipative synthesis for singular delay systems are stated, respec tively; in Chapter 6, for singular Markovian systems, by applying equivalent sets technique, some new formulation of dissipativity conditions are obtained; Chapter 7 carries out sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs); in Chapter 8, for nonlinear singular systems, by using Takagi-Sugeno (T-S) fuzzy model to describe, the issues of admissibility analysis and controller design for T-S fuzzy singular systems are investigated. By its purpose, this book is a base for further theoretical research or guidance of engineering applications. It can serve as a reference for undergraduate and postgraduate students who are interested in singular systems and can be useful for all automatic control engineers and scientists which must treat and solve problems involving singular systems." --zbMath, 2020, Mihail Voicu reviewer, expert opinion
| Preface |
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xi | |
| Acknowledgments |
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xii | |
| Acronyms and symbols |
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xiii | |
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1 | (20) |
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1 | (3) |
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4 | (1) |
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5 | (12) |
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5 | (4) |
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1.3.2 Singular systems with time-delay |
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9 | (4) |
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1.3.3 Singular Markovian jump systems (SMJSs) |
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13 | (2) |
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1.3.4 T-S fuzzy singular systems |
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15 | (1) |
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1.3.5 Type-2 fuzzy singular systems |
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16 | (1) |
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17 | (4) |
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2 Dissipative control and filtering of singular systems |
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21 | (26) |
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2.1 Dissipative control of continuous-time singular systems |
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21 | (9) |
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2.1.1 Problem formulation |
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21 | (3) |
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24 | (3) |
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27 | (2) |
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29 | (1) |
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2.2 Dissipative control of discrete-time singular systems |
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30 | (8) |
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2.2.1 Problem formulation |
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30 | (2) |
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2.2.2 Dissipative control |
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32 | (5) |
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2.2.3 Illustrative example |
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37 | (1) |
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38 | (1) |
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2.3 Dissipative filtering of singular systems |
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38 | (9) |
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2.3.1 Reduced-order dissipative filtering |
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38 | (4) |
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2.3.2 Illustrative example |
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42 | (3) |
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45 | (2) |
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3 Hoc control with transients for singular systems |
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47 | (14) |
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47 | (8) |
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55 | (3) |
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3.3 Illustrative examples |
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58 | (2) |
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60 | (1) |
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4 Delay-dependent admissibility and Hoc control of discrete singular delay systems |
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61 | (40) |
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4.1 New admissibility analysis for discrete singular systems with time-varying delay |
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61 | (12) |
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4.1.1 Problem formulation |
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62 | (2) |
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64 | (8) |
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72 | (1) |
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73 | (1) |
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4.2 Delay-dependent robust H∞ controller synthesis for discrete singular delay systems |
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73 | (28) |
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4.2.1 Problem formulation |
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74 | (2) |
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76 | (9) |
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85 | (3) |
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88 | (4) |
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4.2.5 Illustrative examples |
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92 | (7) |
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99 | (2) |
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5 Delay-dependent dissipativity analysis and synthesis of singular delay systems |
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101 | (58) |
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5.1 Dissipativity analysis for discrete singular systems with time-varying delay |
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101 | (12) |
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5.1.1 Problem formulation |
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101 | (3) |
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104 | (5) |
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109 | (4) |
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113 | (1) |
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5.2 Dissipativity analysis and dissipative control of singular time-delay systems |
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113 | (22) |
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5.2.1 Problem formulation |
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114 | (1) |
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5.2.2 Dissipative analysis |
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115 | (12) |
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5.2.3 State-feedback dissipative control |
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127 | (3) |
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5.2.4 Illustrative examples |
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130 | (5) |
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135 | (1) |
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5.3 Robust reliable dissipative filtering for discrete delay singular systems |
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135 | (24) |
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136 | (3) |
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5.3.2 Reliable dissipativity analysis |
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139 | (9) |
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148 | (4) |
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5.3.4 Illustrative examples |
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152 | (5) |
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157 | (2) |
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6 State-feedback control for singular Markovian systems |
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159 | (26) |
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6.1 Admissibilization and Hoo control for singular Markovian systems |
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159 | (12) |
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6.1.1 Admissibility of singular Markovian jump systems |
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159 | (4) |
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6.1.2 Hoo control of singular Markovian jump systems with time delay |
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163 | (4) |
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167 | (4) |
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171 | (1) |
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6.2 Reliable dissipative control for singular Markovian systems |
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171 | (14) |
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171 | (3) |
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6.2.2 Reliable dissipativity analysis |
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174 | (2) |
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176 | (4) |
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6.2.4 Illustrative example |
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180 | (1) |
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181 | (4) |
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7 Sliding mode control of singular stochastic Markov jump systems |
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185 | (18) |
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185 | (1) |
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7.2 Admissibilization of SSMSs |
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186 | (4) |
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190 | (7) |
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197 | (4) |
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201 | (2) |
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8 Admissibility and admissibilization for fuzzy singular systems |
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203 | (28) |
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8.1 Admissibility analysis for Takagi-Sugeno fuzzy singular systems with time delay |
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203 | (9) |
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8.1.1 Problem formulation |
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203 | (3) |
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206 | (4) |
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210 | (1) |
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211 | (1) |
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8.2 Admissibilization of singular IT2 fuzzy systems |
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212 | (19) |
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212 | (3) |
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8.2.2 State feedback control of singular systems |
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215 | (4) |
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8.2.3 Static output feedback of singular systems |
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219 | (4) |
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223 | (7) |
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230 | (1) |
| References |
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231 | (12) |
| Notations |
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243 | (2) |
| Index |
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245 | |
Zhiguang Feng received the B.S. degree in automation from Qufu Normal University, Rizhao, China, in 2006, the M.S. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2009, and the Ph.D. Degree in the Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, in 2013. He was a Research Associate in the Department of Mechanical Engineering, University of Hong Kong, Hong Kong, from Oct. 2013 to Feb. 2014. From Mar. 2014 to Apr. 2015, he was a visiting fellow in the School of Computing, Engineering and Mathematics, University of Western Sydney, Australia. He was appointed with Victoria University in Australia as Postdoctoral Research Fellow within the College of Engineering and Science from Oct. 2015 to Mar. 2017. Jiangrong Li received the B.S degree in Mathematics from Shaanxi Normal University, Xian, China, in 2002, and the M.S degree in Operational Research and Cybernetics and the PhD degree in the Applied Mathematics from Xidian University, Xian, China, in 2006 and 2012, respectively. From 2017 to 2018, she was a Visiting Fellow with the College of Engineering and Science, Victoria University, Australia. Peng Shi (M-95/SM-98/F-15) received the PhD degree in Electrical Engineering from the University of Newcastle, Australia in 1994; the PhD degree in Mathematics from the University of South Australia in 1998. He was awarded the Doctor of Science degree from the University of Glamorgan, UK in 2006, and the Doctor of Engineering degree from the University of Adelaide in 2015. Haiping Du has more than 15-year experience on the area of modelling, dynamics and control of electrified vehicles. Dr Du received his PhD degree in mechanical design and theory from Shanghai Jiao Tong University, Shanghai, PR China, in 2002. Previously, Dr Du worked as Research Fellow in University of Technology, Sydney and as Post-Doctoral Research Associate in Imperial College London and the University of Hong Kong, respectively. Zhengyi Jiang is currently Senior Professor and Leader of Advanced Micro Manufacturing Centre at the University of Wollongong (UOW). He has been carrying out research on rolling mechanics with significant expertise in rolling theory and technology, tribology in metal manufacturing, contact mechanics and computational mechanics in metal manufacturing, numerical simulation of metal manufacturing, advanced micro manufacturing, development of novel composites, and artificial intelligent applications in rolling process. He obtained his PhD from Northeastern University in 1996 and was promoted full professor at Northeastern University in 1998 and at UOW in 2010. He has over 620 publications (more than 430 journal articles) and 3 monographs in the area of advanced metal manufacturing. He has been awarded over 38 prizes and awards from Australia, Japan, Romania and China, including ARC Future Fellowship (FT3), Australian Research Fellowship (twice), Endeavour Australia Cheung Kong Research Fellowship and Japan Society for the Promotion of Science (JSPS) Invitation Fellowship.
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