Feedback linearization of an active magnetic bearing with voltage control

Lindlau, J.D.; Knospe, Carl R.

doi:10.1109/87.974335

Cited by 143 publications

(58 citation statements)

References 7 publications

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“…En lo que se refiere al control de este sistema existen en la literatura algunos trabajos que abordan el tema. Lindlau et al (Lindlau, 2002) presentan un controlador mediante linealización por realimentación y, observando su funcionamiento mediante la medición de salida ante entradas lineales, se muestran resultados experimentales del comportamiento del sistema. En Mahindrakar (2008) se presenta un esquema de control para estabilizar el sistema, tomando en cuenta que tiene entrada y estados restringidos, proponiendo un controlador basado en Lyapunov, y realizando la comparación con una ley de control lineal.…”

Section: Introductionunclassified

Modelado y control de un sistema de levitación magnética basado en un cojinete magnético activo

Cruz-Pegueros

Frías

Lozada‐Castillo

et al. 2017

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En este trabajo se presenta el diseño, modelado e implementación de un sistema de levitación magnética de un grado de libertad, que consiste en una viga actuada por un cojinete magnético activo en configuración pendular. Se obtiene su representación en espacio de estado y, tras una linealización tangente, su función de transferencia correspondiente. Se describen las características del dispositivo experimental, su instrumentación electrónica y mecanismo, particularmente el procedimiento de diseño del actuador electromagnético empleado, así como su caracterización para determinar la constante de proporcionalidad de la fuerza electromagnética. Finalmente, se muestra la simulación numérica e implementación experimental de esquemas clásicos de control para estabilizar en el punto de equilibrio del sistema.

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Section: Introductionunclassified

Modelado y control de un sistema de levitación magnética basado en un cojinete magnético activo

Cruz-Pegueros

Frías

Lozada‐Castillo

et al. 2017

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“…Consider the magnetic-material saturation in practice [7], the generalized control flux will be bounded by its minimum value and its maximum value , and hence, the nonlinear function in (10) will be bounded by its minimum value and its maximum value . Using the idea of "sector nonlinearity" [6], the nonlinear function can be represented by (12) where is the premise variable, and are membership functions, and (13) Then, under the assumption on bounds of the generalized control flux , we can exactly represent the nonlinear time-varying AMB model (8) with the T-S fuzzy model as (14) where and are matrices that are obtained by replacing in matrix with and , respectively, and…”

Section: T-s Fuzzy Model Of Ambmentioning

confidence: 99%

Robust Fuzzy Control of an Active Magnetic Bearing Subject to Voltage Saturation

Zhang

et al. 2010

IEEE Trans. Contr. Syst. Technol.

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, "Robust fuzzy control of an active magnetic bearing subject to voltage saturation," IEEE transactions on control systems technology : a publication of the IEEE Control Systems Technology, 18 (1), pp. 164-169, 2010. Robust fuzzy control of an active magnetic bearing subject to voltage saturation AbstractBased on a recently proposed model for the active-magnetic-bearing (AMB) switching mode of operation, this paper presents a robust Takagi-Sugeno-model-based fuzzy-control strategy to stabilize the AMB with fast response speed subject to control-voltage saturation and parameter uncertainties. The sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities. Numerical simulations against the proposed AMB model and a high-fidelity AMB model are used to validate the effectiveness of the proposed approach.

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“…Note that the possibility to linearize all state equations depends on restrictive integrability conditions and as such the approach is applicable only to a limited non-zero bias mode (see, e.g., Lindlau and Knospe, 2002;Chen and Knospe, 2005;Jastrzebski et al, 2014). There exist many papers that apply feedback linearization to make the system equations exactly linear; see a brief overview below.…”

Section: Introductionmentioning

confidence: 99%

Feedback linearization of an active magnetic bearing system operated with a zero–bias flux

Mystkowski

Kaparin

Kotta

et al. 2017

International Journal of Applied Mathematics and Computer Science

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Input-output linearization by state feedback is applied to a flux-controlled active magnetic bearing (AMB) system, operated in the zero-bias mode. Two models of the AMB system are employed. The first one is described by the third-order dynamics with a flux-dependent voltage switching scheme, whereas the second one is the fourth-order system, called selfsensing AMB, since it does not require the measurement of the rotor position. In the case of that system we had to find the flat outputs to guarantee its stability. The proposed control schemes are verified by means of numerical simulations performed within the Matlab environment.

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Feedback linearization of an active magnetic bearing with voltage control

Cited by 143 publications

References 7 publications

Modelado y control de un sistema de levitación magnética basado en un cojinete magnético activo

Modelado y control de un sistema de levitación magnética basado en un cojinete magnético activo

Robust Fuzzy Control of an Active Magnetic Bearing Subject to Voltage Saturation

Feedback linearization of an active magnetic bearing system operated with a zero–bias flux

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