Fractional Order PID Control of Rotor Suspension by Active Magnetic Bearings

Anantachaisilp, Parinya; Lin, Zongli

doi:10.3390/act6010004

Cited by 37 publications

(28 citation statements)

References 30 publications

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“…Then, the transfer function for the controller [28] described by Equation 17 is given by Equation 18.…”

Section: Pid Controller and Tuning Methodsmentioning

confidence: 99%

“…This adequate choice demands a well-known system, over which the controller will act. Therefore, a frequency response method, called the relay feedback test, [28,29] was employed to estimate the ultimate gain, K u , and the ultimate period, T u , of the system.…”

Section: Pid Controller and Tuning Methodsmentioning

confidence: 99%

“…Therefore, the error signal would be some reference signal minus the measured signal, and the transfer function for the controller would be given by Equation 26. [28,[30][31][32][33] Tuning method …”

Section: Combined Effects Of the Control Systemmentioning

confidence: 99%

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Electromagnetic actuators for controlling flexible cantilever beams

Martin

Mendes

Cavalca

2017

Struct Control Health Monit

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Electromagnetic actuators are very important for scientific and industrial applications. Their use may vary within a wide range of possibilities due to their most important feature: the ability to apply known and controllable forces to elements or structures without contact. In this article, an application within this range is analyzed: a proportional-integral-derivative (PID) controller is used with a pair of actuators to control the dynamic forced response of a flexible cantilever metallic beam and to keep it at a given reference position. In order to achieve this objective, both the actuators and the controller need to be adjusted. For the actuators, the main parameters evaluated consider mounting particularities, such as the differential assembly and the influence of the air-gap distance over the magnetic flux density and the magnetic force provided. Next, a brief review of PID controllers is pre- | INTRODUCTIONMagnetic actuators are components with a wide range of possibilities whose application field has been growing year after year. [1][2][3] In fact, the main feature of interest in these components is the ability to apply known and controllable forces over many types of elements and structures with no need of contact and no need of any kind of material medium. In this sense, magnetic actuators are a good alternative for common mechanical components. A simple example is a growing field of research and application on magnetic gears. [1,4] These gears offer clear advantages over their mechanical counterparts such as contactless torque transfer, lower maintenance, inherent overload protection, and physical isolation between input and output shafts, being suitable in a market that desires more efficient and reliable gears. Another example of magnetic actuators competing with mechanical devices occurs with magnetic bearings (both active and/ or passive). [1][2][3] These bearings also have some advantages [5] : besides allowing oil-free machines, magnetic bearings are frictionless (and therefore have low-power losses and no wear), allowing high rotational speed. Besides, the bearings can be remotely controlled and are good monitoring devices (because the bearing forces can be properly measured). Therefore, in the field of magnetic bearings, there are some interest applications. Among these, one may find flywheels for kinetic energy storage as peak power buffer units (i.e., for supplying energy on demand peaks) in vehicle applications, [1,6,7] in oil drilling platforms, [8] and even in electric power network applications. [9] Due to its operation characteristics, it is desirable that flywheels rotate at higher speeds and, if a long-term energy storage is needed, low-energy consumption during storage

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“…Then, the transfer function for the controller [28] described by Equation 17 is given by Equation 18.…”

Section: Pid Controller and Tuning Methodsmentioning

confidence: 99%

Section: Pid Controller and Tuning Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic actuators for controlling flexible cantilever beams

Martin

Mendes

Cavalca

2017

Struct Control Health Monit

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“…References [13,14] explore some specific practical directions of control. Pesch et al [13] look at the problem of recovery from momentary contact with the touch-down bearing, using a robust µ-synthesis approach.…”

mentioning

confidence: 99%

“…Pesch et al [13] look at the problem of recovery from momentary contact with the touch-down bearing, using a robust µ-synthesis approach. Anatachaisilp et al [14] explore the use of fractional order control (as opposed to more familiar integer-order control) to achieve desired control shaping with substantially reduced controller complexity.…”

mentioning

confidence: 99%

Actuators for Active Magnetic Bearings

Maslen

2017

Actuators

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Fractional-Order PII1/2DD1/2 Control of a Mechatronic Axis: Influence of the Discrete-Time Approximation of the Half-Order Derivative and Integral

Bruzzone

Nodehi

2022

Advances in Service and Industrial Robotics

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Fractional Calculus is usually applied to control systems by means of the well-known PI λ D μ scheme, which adopts integral and derivative components of non-integer orders λ and µ. An alternative approach is to add equally distributed fractional-order terms to the PID scheme instead of replacing the integer-order terms (Distributed Order PID, DOPID). This work analyzes the properties of the DOPID scheme with five terms, that is the PII 1/2 DD 1/2 (the half-integral and the halfderivative components are added to the classical PID). The frequency domain responses of the PID, PI λ D μ and PII 1/2 DD 1/2 controllers are compared, then stability features of the PII 1/2 DD 1/2 controller are discussed. A Bode plot-based tuning method for the PII 1/2 DD 1/2 controller is proposed and then applied to the position control of a mechatronic axis. The closed-loop behaviours of PID and PII 1/2 DD 1/2 are compared by simulation and by experimental tests. The results show that the PII 1/2 DD 1/2 scheme with the proposed tuning criterium allows remarkable reduction in the position error with respect to the PID, with a similar control effort and maximum torque. For the considered mechatronic axis and trapezoidal speed law, the reduction in maximum tracking error is −71% and the reduction in mean tracking error is −77%, in correspondence to a limited increase in maximum torque (+5%) and in control effort (+4%).

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Fractional Order PID Control of Rotor Suspension by Active Magnetic Bearings

Cited by 37 publications

References 30 publications

Electromagnetic actuators for controlling flexible cantilever beams

Electromagnetic actuators for controlling flexible cantilever beams

Actuators for Active Magnetic Bearings

Fractional-Order PII1/2DD1/2 Control of a Mechatronic Axis: Influence of the Discrete-Time Approximation of the Half-Order Derivative and Integral

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