Chaos Control of Permanent Magnet Synchronous Motor via Adaptive Sliding Mode Variable Structure Scheme

Zhou, Shuo; Wang, Dazhi; Gao, Qingzhong; Liu, Yue

doi:10.14257/ijca.2016.9.4.12

Cited by 2 publications

(3 citation statements)

References 15 publications

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“…To solve these problems, it is necessary to concentrate on the investigation of the chaotic motion of WTSs. Now a lot of research results have been obtained in the chaotic characteristic analysis and chaos control of D-PMSG for WTSs [13][14][15][16][17][18][19]. In recent years, fractional calculus has been gradually adopted in many engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Yang

Sheng

et al. 2021

Energies

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To research the chaotic motion problem of the direct-drive permanent magnet synchronous generator (D-PMSG) for a wind turbine with uncertain parameters and fractional order characteristics, a control strategy established upon fuzzy state feedback is proposed. Firstly, according to the working mechanism of D-PMSG, the Lorenz nonlinear mathematical model is established by affine transformation and time transformation. Secondly, fractional order nonlinear systems (FONSs) are transformed into linear sub-model by Takagi–Sugeno (T-S) fuzzy model. Then, the fuzzy state feedback controller is designed through Parallel Distributed Compensation (PDC) control principle to suppress the chaotic motion. By applying the fractional Lyapunov stability theory (FLST), the sufficient conditions for Mittag–Leffler stability are formulated in the format of linear matrix inequalities (LMIs). Finally, the control performance and effectiveness of the proposed controller are demonstrated through numerical simulations, and the chaotic motions in D-PMSG can be eliminated quickly.

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Section: Introductionmentioning

confidence: 99%

Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Yang

Sheng

et al. 2021

Energies

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“…The permanent magnet synchronous motor (PMSM) is one of the most critical applications that widely used in industrial applications due to its high desired performance [13]- [15]. Many researchers presented the fractional order PMSM as fractional order Lorenz system [16], [17] (FPMSM) which has high chaotic behavior if the parameters of the motor lie in a particular area. Chaos weakens the efficiency of the FPMSM by operating it in undesired conditions, and it occurs in a wide range of the operating parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Chun et al [20] showed an adaptive feedback controller includes one single state variable to eliminate chaos. Also, Zhou et al [16] applied the adaptive sliding mode proposed to control the chaotic behavior in the FPMSM, while Rajagopal et al [15] used recursive extended back stepping controller.…”

Section: Introductionmentioning

confidence: 99%

Variable Order Fractional Permanent Magnet Synchronous Motor: Dynamical Analysis and Numerical Simulation

Zahra

Hikal

2018

Journal of the Egyptian Mathematical Society

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In this paper, the variable order fractional permanent magnet synchronous motor (VOFPMSM) is investigated. Conditions for existence and uniqueness of the solution of the VOFPMSM are proposed. The stability behavior of the system's equilibrium points along with the variation of the motor parameters and the order of differentiation is discussed. Sufficient conditions that guarantee the asymptotic stability of each of the equilibrium points of the system are established. Also, the required conditions that give the effect of Hopf bifurcation of the system are established in terms of the system parameters and the order of differentiation and consequently the appearance of the chaotic behavior of the VOFPMSM. New numerical techniques based on the modified backward Euler's schemes for continuous and discontinuous variable order fractional model are presented. The obtained numerical results demonstrate the merits of the proposed method and the variable order fractional permanent magnet synchronous motor over the fractional permanent magnet synchronous motor.

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Chaos Control of Permanent Magnet Synchronous Motor via Adaptive Sliding Mode Variable Structure Scheme

Cited by 2 publications

References 15 publications

Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Variable Order Fractional Permanent Magnet Synchronous Motor: Dynamical Analysis and Numerical Simulation

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