Chaos suppression in speed control for permanent-magnet-synchronous-motor drive system

Yin, Xiang; She, Jinhua; Liu, Zhentao; Wu, Min; Kaynak, Okyay

doi:10.1016/j.jfranklin.2020.05.007

Cited by 19 publications

(7 citation statements)

References 30 publications

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“…where ϱ p and ϱ d ≠ 1 present the proportional control parameter and the derivative control parameter, respectively, and θ denotes a delay. Adding (13) to the first equation of system (4), we get…”

Section: Suppressing Chaos Via Fractional-order Pd ζ Controllermentioning

confidence: 99%

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Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Wang

2022

Journal of Mathematics

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In this work, based on the earlier publications, we build a new fractional-order chemical reaction model. Computer simulations manifest that the fractional-order chemical reaction model presents chaotic behavior under a certain parameter condition. To eliminate the chaotic dynamical property, a suitable fractional-order PD ζ controller with time delay is designed. Regarding the time delay as a bifurcation parameter, we set up a novel delay-independent stability and bifurcation criterion guaranteeing the stability and the creation of Hopf bifurcation of the controlled fractional-order chemical reaction model. The influence of time delay on the stability and Hopf bifurcation of the controlled fractional-order chemical reaction model is revealed. At last, numerical simulations are performed to sustain the rationality of the designed PD ζ controller. The obtained conclusions of this work are completely novel and have immense application prospects in the chaos control of chemical reaction systems. Furthermore, the research idea can also be utilized to suppress the chaos of a lot of fractional-order chaotic models.

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Section: Suppressing Chaos Via Fractional-order Pd ζ Controllermentioning

confidence: 99%

“…Paula and Savi [10] designed an extended time-delayed feedback control approach to suppress the chaos of a nonlinear pendulum. For more detailed literature on this aspect, one can refer [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Wang

2022

Journal of Mathematics

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“…It is against this background that high-power linear traction systems came into being. They use the force generated by high-intensity electromagnetic fields to drive objects to move on guide rails, thereby achieving high-speed, low-energy, and low-noise transportation [1,2]. Compared with traditional fuel-driven systems and mechanical rotating transmission systems, high-power linear traction systems are have the characteristics of highly efficient, fast, strong, and environmentally friendly, so they are widely used for long-distance and so high-speed transportation.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Sliding Mode Control for Linear Motor Traction Systems with Prescribed Performance

Yang,

Hu,

Song

et al. 2024

Energies

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In this research, we propose a fixed-time sliding mode controller using a prescribed performance control approach to address the speed tracking problem in linear motor traction systems, which are powered by high-power permanent magnet linear synchronous motors (PMLSMs). Initially, to tackle the issue of the convergence time and dynamic response associated with traditional finite-time sliding mode controllers, we introduce a fixed-time sliding mode controller. This controller guarantees that the system state converges to the origin within a specified upper time limit. Subsequently, to enhance the dynamic response of the PMLSM and minimize speed errors, we integrate the prescribed performance control strategy with a fixed-time sliding mode controller. This effectively limits the motor’s speed error within the predefined function boundaries, reduces system overshoo, and mitigates system jitter to a certain degree. Finally, simulation results are presented to validate that the proposed control strategy significantly enhances precision of speed tracking in PMLSMs.

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“…In that year, [23] introduced various approaches based on continuous strategies for solving the problem of finite time and fixed time synchronization of complicated networks. In 2020, for the first time, [24] presented a novel control approach to suppress the chaotic phenomenon in a PI control system. In [25], the issue of finite-time synchronization of a type of chaotic master and slave system with unknown parameters, uncertainties, and disturbances was examined.…”

Section: Introductionmentioning

confidence: 99%

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

et al. 2023

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This paper addresses the fixed-time stability problem of chaotic systems with internal uncertainties and external disturbances. To this end, new sliding-mode surfaces are introduced to design fixed-time controllers for the stabilization of perturbed chaotic systems. First, the required conditions for deriving fixed-time stability are determined. Then, using the obtained stability theorems and sliding mode techniques, the controllers are synthesized. The proposed controller enables the convergence of the trajectories of the chaotic system to the origin in finite time, independently of the initial conditions. The performance of the proposed approach is assessed using a simulation study of a PMSM system and the Matouk system. Among the advantages of the proposed controller are its robustness to external disturbances and the boundedness of the settling time to a constant value for any initial condition.

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Chaos suppression in speed control for permanent-magnet-synchronous-motor drive system

Cited by 19 publications

References 30 publications

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Fixed-Time Sliding Mode Control for Linear Motor Traction Systems with Prescribed Performance

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

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Chaos suppression in speed control for permanent-magnet-synchronous-motor drive system

Cited by 19 publications

References 30 publications

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PDζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PDζ Controller

Fixed-Time Sliding Mode Control for Linear Motor Traction Systems with Prescribed Performance

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

Contact Info

Product

Resources

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Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller

Suppressing Chaos for a Fractional‐Order Chaotic Chemical Reaction Model via PD^ζ Controller