Nonrecursive Control Design for Nonlinear Systems: Theory and Applications

Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines.

Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework.

This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework.

This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.

Chuanlin Zhang received the B.S. degree in mathematics and the Ph.D degree in control theory and control engineering from the School of Automation, Southeast University, Nanjing, China, in 2008 and 2014, respectively. He was a Visiting Ph.D. Student with the Department of Electrical and Computer Engineering, University of Texas at San Antonio, USA, from 2011 to 2012; a Visiting Scholar with the Energy Research Institute, Nanyang Technological University, Singapore, from 2016 to 2017; a visiting scholar with Advanced Robotics Center, National University of Singapore, from 2017 to 2018. He has been with the College of Automation Engineering, Shanghai University of Electric Power, China since 2014, where he is currently a professor and director of Intelligent Autonomous Systems Lab. His research interests include nonlinear system control theory and applications for power systems.

Jun Yang received the B.Sc. Degree in automation from the Department of Automatic Control, Northeastern University, Shenyang, China, in 2006, and the Ph.D. degree in control theory and control engineering from the School of Automation, Southeast University, Nanjing, China in 2011. He joined the Department of Aeronautical and Automotive Engineering at Loughborough University from 2020 as a Senior Lecturer. His research interests include disturbance observer, motion control, visual servoing, nonlinear control and autonomous systems. He is a Fellow of IEEE and IET.