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Dive into the research topics where Reinder Banning is active.

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Featured researches published by Reinder Banning.


IEEE-ASME Transactions on Mechatronics | 2000

Modeling piezoelectric actuators

H.J.M.T.S. Adriaens; W.L. de Koning; Reinder Banning

The piezoelectric actuator (PEA) is a well-known device for managing extremely small displacements in the range from 10 pm to 100 /spl mu/m. When developing a control system for a piezo-actuated positioning mechanism, the actuator dynamics have to be taken into account. An electromechanical piezo model, based on physical principles, is presented in this paper. In this model, a first-order differential equation is adopted to describe the hysteresis effect, and a partial differential equation is used to describe the mechanical behavior. Since, in practice, a PEA is most often used as an actuator for positioning mechanisms, we considered the influence of such a mechanism on the overall mechanical behavior of PEA and positioning mechanism together. For a well-designed mechanism, the overall mechanical behavior practically equals that of a single mass-spring-damper system, of which the undamped eigenfrequency and the relative damping can be designed favorably. With respect to traditional voltage steering, charge steering has the advantage that no hysteresis is encountered between electrical input and elongation. Electrical steering configurations for both cases of steering are presented. Finally, for the case of charge steering, we derived the total model of a piezo-actuated positioning mechanism. This model is dominated by the mechanical model, which could be designed favorably. Therefore, this model gives a broad range of possibilities for model-based controller design.


Automatica | 2001

State-space analysis and identification for a class of hysteretic systems

Reinder Banning; Willem L. De Koning; Han J.M.T.A. Adriaens; Richard K. Koops

An identification technique is presented for certain non-linear state-space models describing systems under the influence of hysteresis


conference on decision and control | 1997

Design and modeling of a piezo-actuated positioning mechanism

J.M.T.A. Adriaens; W.L. De Koning; Reinder Banning

We are involved in the design and control of a 1-dimensional positioning mechanism for a range of 50 /spl mu/m and an accuracy of 30 pm. Only piezoelectric actuators can be used to manage such small displacements. However, these actuators show hysteretic behavior and lengthening saturation. The extremely small displacements are measured by means of capacitive sensors. In order to design a controller a model of the positioning mechanism and the actuators is developed. Contrary to the existing literature, in our model the hysteresis is described by a differential equation. The mechanical characteristics of the design, and therefore also of the model, are chosen such that they are practically realizable and advantageous for controller design. The final nonlinear fifth order state space model is believed to be suitable for a nonlinear control technique like feedback linearization.


IFAC Proceedings Volumes | 1998

Physical Modeling of Piezoelectric Actuators for Control Purposes

Willem L. De Koning; Han J.M.T.A. Adriaens; Reinder Banning

Abstract The piezoelectric actuator is a well-known device for managing extremely small displacements in the range of 10 pm (1 pm = 10 –12 m) to 100 μ m. When developing a control system for a piezo-actuated positioning mechanism the actuator dynamics have to be taken into account. A piezo model, based on physical principles, is presented for the case of charge control as well as for the case of voltage control. In the latter model a first order differential equation is used to describe the hysteresis effect. Both models are suitable for control purposes.


IEEE Transactions on Instrumentation and Measurement | 1997

Spectral analysis methods for Poisson sampled measurements

Reinder Banning

The velocity measurements for turbulent flow regimes obtained with laser Doppler anemometry are not only affected by random noise but are also unevenly spaced in time. The usual spectral estimators rely on evenly spaced data points. It would appear then that the measurement data requires adjustment before it can be passed on to these estimators. In this paper, both an analysis method with a novel adjustment scheme as well as an analysis method which does not rely on the use of adjustment schemes, are presented.


Mathematics of Control, Signals, and Systems | 2001

Spectral Analysis of Stochastically Sampled Dynamic Systems

Reinder Banning; Willem L. De Koning

Abstract. In this paper a spectral analysis methodology is introduced for stochastically sampled linear, dynamic, and stochastic continuous-time systems. This particular problem is considered for the purpose of investigating the spectral analysis issues associated with turbulent velocity measurements. The properties of the equivalent linear discrete-time system allow for the determination of the covariance between observations as a function of the number of in-between measurements. Subsequently, this autocovariance function is analyzed in the frequency domain.


conference on decision and control | 1997

Analysis and control of dynamic systems with hysteresis

Reinder Banning; W.L. De Koning; J.M.T.A. Adriaens

A series connection of a linear system and a dynamic hysteresis operator is considered as a model for a composite device with inherent dynamic hysteretic behaviour. The system is analyzed for convergence behavior and for its suitability to linear control and feedback linearization control.


IFAC Proceedings Volumes | 2000

Mixed Feedback/Inverse Control of Piezo-Actuated Systems 1

Han J.M.T.A. Adriaens; Willem L. De Koning; Reinder Banning

Abstract The piezoelectric actuator is a well-known device for managing extremely small displacements. In the behavior of a piezo-actuated system the actuator dynamics play a dominant role. Therefore, in order to be able to design a high performance model-based controller the actuator dynamics must be taken into account in the system model. A physical model is derived, where the hysteresis effect is represented by a first-order nonlinear differential equation. Using the inverse hysteresis operator a mixed feedback/inverse controller is developed and applied in practice.


instrumentation and measurement technology conference | 1996

On the spectral analysis of Poisson sampled velocity measurements in turbulent flows

Reinder Banning

There are two major problems when conducting a spectral analysis of LDA turbulent velocity measurements. Firstly, the samples are unevenly distributed in time. Secondly, the measurements are affected by random noise. Both of these problems are addressed in this paper.


european control conference | 1999

Feedback-linearization control of a piezo-actuated positioning mechanism

Han J.M.T.A. Adriaens; Willem L. De Koning; Reinder Banning

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Willem L. De Koning

Delft University of Technology

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Han J.M.T.A. Adriaens

Delft University of Technology

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J.M.T.A. Adriaens

Delft University of Technology

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W.L. De Koning

Delft University of Technology

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H.J.M.T.S. Adriaens

Delft University of Technology

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K.R. Koops

Delft University of Technology

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P.M.L.O. Scholte

Delft University of Technology

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W.C. Heerens

Delft University of Technology

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