Design and Circuit Implementation of Fractional-Order Multiwing Chaotic Attractors

Tang, Zilong; Zhang, Chaoxia; Yu, Simin

doi:10.1142/s0218127412502690

Cited by 9 publications

(1 citation statement)

References 14 publications

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“…Consequently, (12) can be expressed as

G false(s false) = \frac{b_{0}}{a_{2} s^{2 q} + a_{1} s^{q} + 1} .

Here

a_{1}, a_{2}, b_{0}

and

q

are the parameters to be identified. Applying this fractional‐order model (13), it is estimated that the characteristics of PMSM velocity control dynamics can be described more accurately over the traditional integer‐order model (9) since this fractional‐order feature in model (13) is closer to the nature of the components in PMSM [19, 20].…”

Section: Fractional‐order Model For Pmsm Velocity Servo Systemmentioning

confidence: 99%

Frequency domain modelling and control of fractional‐order system for permanent magnet synchronous motor velocity servo system

Luo

Chen

et al. 2016

IET Control Theory & Applications

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This paper presents fractional order system modeling and control for a permanent magnet synchronous motor (PMSM) velocity servo system. Fractional order model of the PMSM velocity servo system is obtained theoretically for an improved modeling precision. In order to identify the parameters of the proposed fractional order model, an enhancement of the classic Levy identification method with weights is applied. In a real-time PMSM velocity servo plant, the fractional order model is identified according to the experimental tests using the presented algorithm. The fact that the fractional model is more accurate than traditional integer order model is substantiated using by the mean square error performance index. Two H ∞ stabilizing output feedback controllers are designed for velocity servo using a simple scheme according to the identified fractional order model and the traditional integer order one, respectively. The experimental test performance using these two designed H ∞ controllers is compared to demonstrate the advantage of the proposed fractional order model of the PMSM velocity system.

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“…Consequently, (12) can be expressed as