Synchronization and stabilization of fractional order nonlinear systems with adaptive fuzzy controller and compensation signal

Jafari, Pouria; Teshnehlab, Mohammad; Tavakoli-Kakhki, Mahsan

doi:10.1007/s11071-017-3709-5

Cited by 13 publications

(4 citation statements)

References 47 publications

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“…Fuzzy control is less sensitive to parametric changes. By Combining fuzzy control with traditional PID control, the system is highly adaptable, has high control precision, and can adjust the control parameters online [30]- [33]. In this paper, fuzzy control is introduced on the basis of PID control, and the parameters of the PID controller are adjusted by fuzzy logic to compensate for the influence of network induced delay in the system.…”

Section: Controller Designmentioning

confidence: 99%

Tension Networked Control Strategy for Carbon Fiber Multilayer Diagonal Loom

Liu

et al. 2020

IEEE Access

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With the aim of solving warp tension control problems in the let-off system and opening system in the carbon fiber multilayer diagonal loom, dynamic models of warp tension are established in this study based on dynamic analysis. Adaptive fuzzy PID control is applied to the tension-networked control, and an adaptive fuzzy PID controller is designed to solve the problems of network induced delay, packet loss, and network bandwidth occupancy. A TrueTime simulation structure of the tension control system is also built. Compared with PID control, adaptive fuzzy PID control exhibited the advantages of a small overshoot, small fluctuation of output tension, good tracking effect, and stability in simulations under different conditions, including a 30-ms network induced delay, 10% packet loss, and 30% network bandwidth occupancy. The results of the simulations show that adaptive fuzzy PID control has better control effect than PID control, and is more suitable for tension-networked control systems in the carbon fiber multilayer diagonal loom. INDEX TERMS Carbon fiber multilayer diagonal loom, tension control, networked control systems, adaptive fuzzy PID control.

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Section: Controller Designmentioning

confidence: 99%

Tension Networked Control Strategy for Carbon Fiber Multilayer Diagonal Loom

Liu

et al. 2020

IEEE Access

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“…On this basis, fractional-order finite-time control has attracted more and more attention. Then, all kinds of fractional-order control methods have been investigated [30,31], such as fractional-order sliding mode control [32], fractional-order PID control [33], fractional-order finite-time control combined with the frequency distributed model [34], and fractional-order adaptive fuzzy control [35]. Although the above literature present the fractional-order control method to be applied to other chaotic system rather than chaotic ferroresonance circuits, the research ideas can be used for reference.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System

Yang,

Fan,

et al. 2023

Fractal Fract

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Ferroresonance is characterized by overvoltage and irregular operation in power systems, which can greatly endanger system equipment. Mechanism analysis of the ferroresonance phenomenon depends mainly on model accuracy. Due to the fractional-order characteristics of capacitance and inductance, fractional-order models are more universal and accurate than integer-order models. A typical 110 kV ferroresonance model is first established. The influence of the excitation amplitude on the dynamic behavior is analyzed. The fractional-order ferroresonance model is then introduced, and the effects of the fractional order and flux-chain order on the system’s motion state are studied via bifurcation diagrams and phase portraits. In order to suppress the nonlinear dynamic behavior of fractional-order ferroresonance systems, a novel fractional-order fast terminal sliding mode control method based on finite-time theory and the frequency distributed model is proposed. A new fractional-order sliding mode surface and control law using a saturation function are developed. A robust fractional-order sliding mode controller could achieve finite-time stabilization and tracking despite model uncertainties and external disturbances. Compared with conventional sliding mode methods, the simulation results highlight the effectiveness and superiority. The research provides a theoretical basis for ferroresonant analysis and suppression in large-scale interconnected power grids.

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“…Fuzzy sector nonlinearity which is a method to convert a nonlinear system into the T-S fuzzy model can exactly describe a nonlinear system as a set of local linear subsystems blended by fuzzy membership functions (Tanaka and Wang, 2004). The T-S fuzzy model has been applied for solving many control problems (Jafari et al, 2017b). Also, T-S fuzzy control has been firstly extended to control fractional-order systems in Zheng et al (2010).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

Mahmoudabadi

Tavakoli-Kakhki

2021

Journal of Vibration and Control

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In this article, a Takagi–Sugeno fuzzy model is applied to deal with the problem of observer-based control design for nonlinear time-delayed systems with fractional-order [Formula: see text]. By applying the Lyapunov–Krasovskii method, a fuzzy observer–based controller is established to stabilize the time-delayed fractional-order Takagi–Sugeno fuzzy model. Also, the problem of disturbance rejection for the addressed systems is studied via the state-feedback method in the form of a parallel distributed compensation approach. Furthermore, sufficient conditions for the existence of state-feedback gains and observer gains are achieved in the terms of linear matrix inequalities. Finally, two numerical examples are simulated for the validation of the presented methods.

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Synchronization and stabilization of fractional order nonlinear systems with adaptive fuzzy controller and compensation signal

Cited by 13 publications

References 47 publications

Tension Networked Control Strategy for Carbon Fiber Multilayer Diagonal Loom

Tension Networked Control Strategy for Carbon Fiber Multilayer Diagonal Loom

Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

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