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Sliding Mode Control of Fractional-order Systems

  • 1st Edition - May 1, 2025
  • Authors: Hamid Reza Karimi, Xin Meng, Baoping Jiang
  • Language: English
  • Paperback ISBN:
    9 7 8 - 0 - 4 4 3 - 3 1 6 9 6 - 8
  • eBook ISBN:
    9 7 8 - 0 - 4 4 3 - 3 1 6 9 7 - 5

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… Read more

Sliding Mode Control of Fractional-order Systems

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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.