On-line parameter estimation of a magnetic bearing

Delpoux, Romain; Floquet, Thierry

doi:10.1109/med.2011.5983117

Cited by 4 publications

(2 citation statements)

References 11 publications

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“…The control objective is to design an output feedback control law for the accurate tracking of a reference position x(t),de not e dbyx * (t).F orthispurpose,dif ferentiatorsha ve been used in the past to estimate the states of the system from (2). This solution would give satisfactory results in the absence of noise measurement but, as it turns out, the scheme is quite sensitive to those uncertainties and it exhibits a lack of robustness.…”

Section: Problem Statementmentioning

confidence: 99%

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Acceleration feedback via an algebraic state estimation method

Delpoux

Sira‐Ramírez

Floquet

2013

52nd IEEE Conference on Decision and Control

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In many mechanical systems, only accelerations are available for feedback purposes. For example, certain aerospace, positioning systems and force-position controllers in robotic systems, use accelerometers as the only sensing device. This paper presents initial steps towards an algebraic approach for the state estimation based feedback control problem in systems where the highest order derivative of the controlled variable is available. An illustrative case is presented dealing with the trajectory tracking problem for a second order position system on which only the acceleration is available for measurement. Based on an algebraic approach, an on-line algebraic estimator is developed for the unmeasured position and velocity variables. The obtained expressions depend solely on iterated integrals of the measured acceleration output and of the control input. The approach is robust to noisy measurement and it has the advantage to provide fast, on-line, non-asymptotic state estimations in the form of formulae requiring only the input and the output of the system. Based on these estimations, alinearfeedbackcontrollawincludingestimatedpositionerror integrals is designed illustrating the possibilities of acceleration feedback via algebraic state estimation.

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Section: Problem Statementmentioning

confidence: 99%

“…This method has already been successfully applied to parameter estimation [2], [15], [16], [18], [19], to abrupt change detections and the efficient identification of time delays [1], [5], [21]. Numerical differentiation of noisy signals may also benefit from this approach, as demonstrated in [17], [20].…”

Section: Introductionmentioning

confidence: 99%