Sliding Mode Control of Fractional-order Systems

In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order. In control systems, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by applying a discontinuous control signal (or more rigorously, a set-valued control signal) that forces the system to "slide" along a cross-section of the system's normal behavior. Sliding Mode Control of Fractional-order Systems discusses the design of several types of fractional-order systems. Sliding mode control strategy allows the exploration of the problems of projection synchronization control, finite-time stability, asymptotic stability, and formation control of fractional-order systems, which make up the shortages in the analysis and design of fractional-order systems. The book focuses on several types of fractional-order control systems, combined with the sliding-mode control (SMC) and event-triggered control, the problems of projection synchronization control, finite-time stability, asymptotic stability, and formation control for those systems are explored, which makes up the shortages in the analysis and design of fractional-order systems.

• Provides a comprehensive and clear explanation of recent developments in sliding mode control of fractional-order systems
• Unifies existing and emerging concepts concerning sliding mode control of fractional-order systems
• Provides a series of the latest results in, including but not limited to, projective synchronization control, exponential consensus control, formation control and fractional-order event-triggered control

Dr. Karimi received the B.Sc. (First Hons.) degree in power systems from the Sharif University of Technology, Tehran, Iran, in 1998, and the M.Sc. and Ph.D. (First Hons.) degrees in control systems engineering from the University of Tehran, Tehran, in 2001 and 2005, respectively. His research interests are in the areas of control systems/theory, mechatronics, networked control systems, intelligent control systems, signal processing, vibration control, ground vehicles, structural control, wind turbine control and cutting processes. He is an Editorial Board Member for some international journals and several Technical Committee. Prof. Karimi has been presented a number of national and international awards, including Alexander-von-Humboldt Research Fellowship Award (in Germany), JSPS Research Award (in Japan), DAAD Research Award (in Germany), August-Wilhelm-Scheer Award (in Germany) and been invited as visiting professor at a number of universities in Germany, France, Italy, Poland, Spain, China, Korea, Japan, India.

Xin Meng joined the School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, China in 2023. Dr Meng’s research interests are in the areas of sliding mode control, fractional-order systems, event-triggered control, etc. He has published more than 10 papers, and some of them are published in top journals, such as ISA Trans., Neurocomputing, etc. He also serves as an active reviewer for more than 10 international journal.

Dr Jiang is based at the Department of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, China, where he is an associate professor. Drs Jiang’s research interests are in the areas of stochastic systems, networked control systems, sliding mode control and stability theory, etc. He has published more than 60 papers.