Recent Trends in Sliding Mode Control

Leonid Fridman received a Ph.D. degree in applied mathematics from the Institute of Control Science, Moscow, Russia, in 1988, and a Dr. Sc. degree in control science from Moscow State University of Mathematics and Electronics, Moscow, Russia, in 1998. Since 2002, he joined the Department of Control Engineering and Robotics, Division of Electrical Engineering of Engineering Faculty at National Autonomous University of Mexico (UNAM), Mexico. His research interests are Variable Structure Systems, and he is currently a Chair of TC on Variable Structure Systems and Sliding mode control of IEEE Control Systems Society, Associated Editor of the Journal of Franklin Institute, and Nonlinear Analysis: Hybrid Systems. He is an author and editor of eight books and fifteen special issues devoted to the sliding mode control. He is a winner of Scopus prize for the best cited Mexican Scientists in Mathematics and Engineering 2010. Jean-Pierre Barbot is Professor at ENSEA Cergy-Pontoise, France. He is currently director of the Quartz Laboratory EA 7393 and member of EPI Non-A at INRIA. After his graduation from the Ecole Normale Supérieure of Cachan, he received the Ph. D. degree in automatic control from the University of Paris XI (France) in 1989 and the HDR in 1997. His main research activities deal with sliding mode control and observation, system under sampling, hybrid system, delay system, synchronization of chaotic system, normal form and recently Compressive Sensing. His main application domains are electrical machine, power converter. Franck Plestan received the Ph.D. in Automatic Control from the Ecole Centrale de Nantes, France, in 1995. From September 1996 to August 2000, he was with Louis Pasteur University, Strasbourg, France. In September 2000, he joined the Ecole Centrale de Nantes, Nantes, France where he is currently Professor. His research interests include robust nonlinear control (especially sliding mode) and observer design, with several fields of applications (electropneumatic actuators, flying systems, automotive).

Part 1: Novel sliding mode algorithms

Chapter 1.1: Lyapunov approach to higher-order sliding mode design
Chapter 1.2: Sliding surface design for higher-order sliding modes
Chapter 1.3: Robust output control of systems subjected to perturbations via high-order sliding modes observation and identification
Chapter 1.4: Construction of Lyapunov functions for high-order sliding modes



Part 2: Properties of sliding mode algorithms

Chapter 2.1: Homogeneity of differential inclusions
Chapter 2.2: Minimax observer for sliding mode control design
Chapter 2.3: L
2-Gain analysis of sliding mode dynamics
Chapter 2.4: Analysis of transient motions in variable-structure systems through the dynamic harmonic balance principle



Part 3: Discretization of sliding-mode controllers

Chapter 3.1: On discretization of high-order sliding modes
Chapter 3.2: Experimental results on implicit and explicit time-discretization of equivalent control-based sliding mode control
Chapter 3.3: A generalized reaching law for discrete-time sliding mode



Part 4: Applications

Chapter 4.1: Conventional and adaptive second-order sliding mode control of a wind energy conversion system
Chapter 4.2: Sliding mode control of a fuel cell-based electric power system: multiple modular configurations
Chapter 4.3: Networked model-based event-triggered sliding mode control
Chapter 4.4: Step-by-step super-twisting observer for DC series motor in the presence of magnetic saturation
Chapter 4.5: Sliding mode control of LCL full-bridge rectifiers
Chapter 4.6: Adaptive solutions for robust control of electropneumatic actuators