Sliding Mode Control of Fractional-order Systems

Hamid Reza Karimi, Xin Meng, Baoping Jiang

• Publisher: Academic Press
• Year: 2025
• Topic: Technology & Engineering
• eBook ISBN:
  9780443316975
• Subtopic: Engineering General
• Index: Technology & Engineering

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

Table of contents

• Title of Book
• Chapter 1: Introduction of sliding mode control and fractional-order control systems
• Chapter 2: Theoretical foundations of fractional-order systems
• Chapter 3: Finite-time projective synchronization control of variable-order fractional chaotic systems via sliding mode approach
• Chapter 4: Finite-time synchronization of variable-order fractional uncertain coupled systems via adaptive sliding mode control
• Chapter 5: Sliding mode projective synchronization for fractional-order coupled systems based on network without strong connectedness
• Chapter 6: An event-triggered sliding mode control mechanism to exponential consensus of fractional-order descriptor nonlinear multi-agent systems
• Chapter 7: Leader–follower sliding mode formation control of fractional-order multi-agent systems: a dynamic event-triggered mechanism
• Chapter 8: An event-triggered mechanism to observer-based sliding mode control of fractional-order uncertain switched systems
• Chapter 9: Nonfragile sliding mode control of fractional-order complex networked systems via combination event-triggered approach
• Index