Fault-tolerant control based on algebraic derivative estimation applied on a magnetically supported plate

Kiltz, Lothar; Join, Cédric; Mboup, Mamadou; Rudolph, Joachim

doi:10.1016/j.conengprac.2014.01.009

Cited by 28 publications

(19 citation statements)

References 15 publications

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“…When the plate is hovering, ν is dominated by measurement noise and (audible) mechanical vibrations, whereas slowly varying model uncertainties, such as calibration errors or parameter drifts, are implicitly attenuated due to the differentiation of the equation of motion [8], [9]. An approximation r : R → R, denoted as the collision indicator, of the left-hand side of (6) is…”

Section: A Collision Detection When the Plate Is Hoveringmentioning

confidence: 99%

“…Four displacement sensors capture the vertical position of the plate at four points. The control law discussed in [8] stabilizes the vertical position of the plate around desired trajectories y d : R → R. Therefore, y d is considered as the control input of the system. This is justified by Fig.…”

Section: Experimental Setup and Control Strategymentioning

confidence: 99%

“…Neither precise mechanical components nor additional sensors that measure the ball position are used. An extension of the faultdiagnosis methods discussed in [8], [9] is used to detect previous collisions in order to predict the next collision. The predictions must be accurate and precise due to limitations of the achievable displacements and actuator dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Algebraic estimation of impact times: Juggling a ball with a magnetically levitated plate

Kiltz

Janocha

Rudolph

2013

2nd International Conference on Systems and Computer Science

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A plate that may freely move in the field of four electromagnets is automatically controlled such as to keep a ping-pong ball bouncing. A simple mathematical model of the process is used together with an algebraic derivative estimator in order to estimate the impact times of the ball. This information is used to predict the next impact. The only measurement used in this process is the plate position measurement. It is related with the reference forces in order to generate a motion appropriate to keep the ball bouncing. Precision and robustness against measurement noise, mechanical vibrations, and fast motions of the plate are achieved by a suitable parameterization of the algebraic derivative estimator and an automatic calibration. Experimental results are shown.

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Section: A Collision Detection When the Plate Is Hoveringmentioning

confidence: 99%

Section: Experimental Setup and Control Strategymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Algebraic estimation of impact times: Juggling a ball with a magnetically levitated plate

Kiltz

Janocha

Rudolph

2013

2nd International Conference on Systems and Computer Science

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“…Remark 3.2. For model-based diagnosis, estimation techniques stemming fromFliess, Sira-Ramírez (2003, 2008 have already lead to quite important advances.See, e.g.,Fliess et al (2004;Kiltz et al (2014);Villagra et al (2011a,b).…”

mentioning

confidence: 99%

A model-free control strategy for an experimental greenhouse with an application to fault accommodation

Lafont

Balmat

Pessel

et al. 2015

Computers and Electronics in Agriculture

110

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Writing down mathematical models of agricultural greenhouses and regulating them via advanced controllers are challenging tasks since strong perturbations, like meteorological variations, have to be taken into account. This is why we are developing here a new model-free control approach and the corresponding "intelligent" controllers, where the need of a "good" model disappears. This setting, which has been introduced quite recently and is easy to implement, is already successful in many engineering domains. Tests on a concrete greenhouse and comparisons with Boolean controllers are reported. They not only demonstrate an excellent climate control, where the reference may be modified in a straightforward way, but also an efficient fault accommodation with respect to the actuators.

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“…[17] presented a fault-tolerant strategy which was composed of a fault estimator and a robust fault-tolerant controller, and applied it to a practical quadruple-tank process. [18] proposed a fault-tolerant control method which was based on algebraic derivative estimation. [19] proposed a flexible fault-tolerant topology scheme for the faults of switched reluctance motor.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Fault-Tolerant Control on Faults with Prior Knowledge for Discrete Systems with Multiple Transfer Delays

Li¹,

Chen²,

Yang³

et al. 2016

IJCA

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Fault-tolerant control based on algebraic derivative estimation applied on a magnetically supported plate

Cited by 28 publications

References 15 publications

Algebraic estimation of impact times: Juggling a ball with a magnetically levitated plate

Algebraic estimation of impact times: Juggling a ball with a magnetically levitated plate

A model-free control strategy for an experimental greenhouse with an application to fault accommodation

Dynamic Fault-Tolerant Control on Faults with Prior Knowledge for Discrete Systems with Multiple Transfer Delays

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