Sliding Mode Control of Fractional-Order Systems

By Hamid Reza Karimi PhD, Xin Meng PhD, Baoping Jiang PhD

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.

• Format: Paperback
• Language: English
• ISBN: 0443316961
• ISBN13: 9780443316968
• Release Date: June 2025
• Publisher: Academic Press
• Length: 236 Pages
• Weight: 0.85 lbs.
• Dimensions: 0.5" x 6.3" x 9.0"