Application of gain scheduled H/sub ∞/ robust controllers to a magnetic bearing

Matsumura, Fumio; Namerikawa, Toru; Hagiwara, Kazuyoshi; Fujita, Masayuki

doi:10.1109/87.531915

Cited by 102 publications

(27 citation statements)

References 14 publications

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“…where is the starting time; and are the variables which can be obtained by respectively solving (11) and (12); and are the inputs described, respectively, by (13) (14) are design parameters which are usually chosen to be very small; are updated by the following adaptive algorithms shown in (15) and (16) , it can be seen that the estimation of is independent of the estimation of . The formula-…”

Section: Formulation Of the Disturbance Observermentioning

confidence: 99%

A Nonlinear Disturbance Observer for Multivariable Systems and Its Application to Magnetic Bearing Systems

Chen

Fukuda

2004

IEEE Trans. Contr. Syst. Technol.

100

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Abstract-This paper proposes a new nonlinear-disturbance observer for multivariable minimum-phase systems with arbitrary relative degrees. The model uncertainties and the system nonlinearities are treated as disturbances. The estimation of individual disturbances is independent of each other and the derivatives of the disturbances can be independently estimated. The proposed formulation is inspired by the variable structure-control method and adaptive algorithms where the a priori information concerning the upper bounds of the disturbances and their derivatives is not required. The nonlinear-disturbance observer is robust to the types of disturbances. Stability analysis shows that the estimation error decreases exponentially to a steady value, which is determined by the design parameters. To illustrate the method, the proposed design is applied to a vertical-shaft magnetic-bearing system where the rotational disturbances and their derivatives are estimated based on a linearized model of the rotational motion. Simulation results show the effectiveness of the proposed method.Index Terms-Disturbance observer, magnetic bearing systems, minimum phase systems, multivariable systems.

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Section: Formulation Of the Disturbance Observermentioning

confidence: 99%

A Nonlinear Disturbance Observer for Multivariable Systems and Its Application to Magnetic Bearing Systems

Chen

Fukuda

2004

IEEE Trans. Contr. Syst. Technol.

100

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“…An idea to systematically utilize the rotor speed for the controller adjustment in AMBs was proposed by different authors in different ways. One of the first examples is presented in the work of Matsumura et al (1996). The authors synthesize a robust loops-shaping controller, which is able to reject sinusoidal disturbance with the rotor rotational frequency.…”

Section: Lpv Methods Applied To a Gyroscopic Amb Rotor Systemmentioning

confidence: 99%

Discussion on Robust Control Applied to Active Magnetic Bearing Rotor System

Jastrzębski¹,

Смирнов²,

Pyrhönen³

et al. 2011

Challenges and Paradigms in Applied Robust Control

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“…These assumptions are not strong and suitable around the steady state operation, but if the rotor spins at super-high speed, these assumption will be failed. Based on the above assumptions, the equation of the motion of the rotor in Y and Z directions in Fig.2 has been derived as follows [5].…”

Section: System Description and Modelingmentioning

confidence: 99%

“…Examples of these applications are : turbo-molecular pumps, high-speed spindles for machine tools, flywheels for energy storage [4], reaction wheels for artificial satellites, gas turbine engines, blood pumps [6], and fluid pumps, etc. [5], [7].…”

Section: Introductionmentioning

confidence: 99%

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H∞ control of the magnetic bearing considering initial state uncertainties

Namerikawa

Shinozuka

The 8th IEEE International Workshop on Advanced Motion Control, 2004. AMC '04.

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Abstract-This paper deals with an application of H∞ control attenuating initial-state uncertainties to the magnetic bearing and examines the H∞ control problem, which treats a mixed Disturbance and an Initial-state uncertainty Attenuation(DIA) control. The mixed H∞ DIA problem supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainty. On the other hand, active magnetic bearings allow contract-free suspension of rotors and they are used for various industrial purposes. We derive a mathematical model of the magnetic bearing which has complicated rotor dynamics and nonlinear magnetic property. Then we apply this proposed H∞DIA control for the magnetic bearing, and design a robust H∞ controller both for exogenous disturbances and for initial state uncertainties of the plant. Experimental results show that the proposed robust control approach is effective for improving transient response and robust performance.

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Application of gain scheduled H/sub ∞/ robust controllers to a magnetic bearing

Cited by 102 publications

References 14 publications

A Nonlinear Disturbance Observer for Multivariable Systems and Its Application to Magnetic Bearing Systems

A Nonlinear Disturbance Observer for Multivariable Systems and Its Application to Magnetic Bearing Systems

Discussion on Robust Control Applied to Active Magnetic Bearing Rotor System

H∞ control of the magnetic bearing considering initial state uncertainties

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