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.
1. Chapter 1: Introduction of sliding mode control and fractional-order control systems - p. 1 2. Chapter 2: Theoretical foundations of fractional-order systems - p. 27 3. Chapter 3: Finite-time projective synchronization control of variable-order fractional chaotic systems via sliding mode approach - p. 41 4. Chapter 4: Finite-time synchronization of variable-order fractional uncertain coupled systems via adaptive sliding mode control - p. 57 5. Chapter 5: Sliding mode projective synchronization for fractional-order coupled systems based on network without strong connectedness - p. 73 6. Chapter 6: An event-triggered sliding mode control mechanism to exponential consensus of fractional-order descriptor nonlinear multi-agent systems - p. 93 7. Chapter 7: Leader–follower sliding mode formation control of fractional-order multi-agent systems: a dynamic event-triggered mechanism - p. 123 8. Chapter 8: An event-triggered mechanism to observer-based sliding mode control of fractional-order uncertain switched systems - p. 151 9. Chapter 9: Nonfragile sliding mode control of fractional-order complex networked systems via combination event-triggered approach - p. 189 10. Index - p. 225
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.
1. Chapter 1: Introduction of sliding mode control and fractional-order control systems - p. 1 2. Chapter 2: Theoretical foundations of fractional-order systems - p. 27 3. Chapter 3: Finite-time projective synchronization control of variable-order fractional chaotic systems via sliding mode approach - p. 41 4. Chapter 4: Finite-time synchronization of variable-order fractional uncertain coupled systems via adaptive sliding mode control - p. 57 5. Chapter 5: Sliding mode projective synchronization for fractional-order coupled systems based on network without strong connectedness - p. 73 6. Chapter 6: An event-triggered sliding mode control mechanism to exponential consensus of fractional-order descriptor nonlinear multi-agent systems - p. 93 7. Chapter 7: Leader–follower sliding mode formation control of fractional-order multi-agent systems: a dynamic event-triggered mechanism - p. 123 8. Chapter 8: An event-triggered mechanism to observer-based sliding mode control of fractional-order uncertain switched systems - p. 151 9. Chapter 9: Nonfragile sliding mode control of fractional-order complex networked systems via combination event-triggered approach - p. 189 10. Index - p. 225
