Analysis and Synthesis of Singular Systems

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, Xi’an, China, in 2002, and the M.S degree in Operational Research and Cybernetics and the PhD degree in the Applied Mathematics from Xi’dian University, Xi’an, 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.

• 1. Introduction2. Dissipative Control and Filtering of Singular Systems3. H∞ Control with Transients for Singular Systems4. Delay-dependent Admissibility and H∞ Control of Discrete Singular Delay Systems5. Delay-dependent Dissipativity Analysis and Synthesis of Singular Delay Systems6. State-feedback Control for Singular Markovian Systems7. Sliding Mode Control of Singular Stochastic Markov Jump Systems8. Admissibility and Admissibilization for Fuzzy Singular Systems

"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