A comparison between the algebraic and the reduced order observer approaches for on‐line load torque estimation in a unit power factor rectifier‐DC motor system

Linares-Flores, J.; Sira‐Ramírez, Hebertt; Mendoza, Edgardo Yescas; Vasquez-Sanjuan, Jacob J.

doi:10.1002/asjc.234

Cited by 32 publications

(37 citation statements)

References 22 publications

(38 reference statements)

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“…The polynomial (15), can be identified to the general third order characteristic polynomial, p d (s)=( s 2 +2ζω n s + ω 2 n )(s + p) = s 3 +(p +2ζω n )s 2 +(ω 2 n +2ζω n p)s + ω 2 n p,…”

Section: Numerical Simulations Resultsmentioning

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: Numerical Simulations Resultsmentioning

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%

Acceleration feedback via an algebraic state estimation method

Delpoux

Sira‐Ramírez

Floquet

2013

52nd IEEE Conference on Decision and Control

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“…For the last step, the starting time was set to be T 2 = 1 [s]. Notice that the three parameter estimates are accurately estimated in a period less than 0.1 [s], including the load torque, which can be used for control tuning, or adaptive load torque estimation [21].…”

Section: Numerical Resultsmentioning

confidence: 99%

Parameter identification of a permanent magnet synchronous motor

Lozada‐Castillo¹,

Chairez²,

Luviano‐Juárez

et al. 2014

53rd IEEE Conference on Decision and Control

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In this article, the problem of parameter identification and state estimation for synchronous motors is tackled by means of the combination of algebraic techniques, in the context of a step by step approach. The step by step procedure consists in separating the estimation problem in three subsequent steps, in such a manner that it is possible to carry out each identification (estimation) step. The first one estimates a set of electrical parameters, then a state estimation based on the algebraic derivative approach is performed. The results of the proposed algebraic techniques are used to make possible the last step, in which the mechanical parameters are estimated. Numerical results are used to illustrate the effectiveness of the proposed methodology.

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“…A reduced order observer for the load torque with friction terms is then proposed which accurately yields the uncertain value of the constant load torque with friction terms (See J. Linares-Flores et. al [19]). …”

Section: Mathematical Model Of the Pmsm And Problem Formulationmentioning

confidence: 96%

Robust backstepping tracking controller for low speed PMSM positioning system: Design, analysis, and implementation

Linares-Flores

García‐Rodríguez

Sira‐Ramírez

et al. 2015

2015 IEEE International Conference on Industrial Technology (ICIT)

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This article is concerned with the design and implementation of a robust position trajectory tracking controller for a permanent magnet synchronous motor (PMSM). The information on the angular position, provided by a classical resolver, is here complemented with an observer based phase lock loop (PLL) circuit which accurately renders the position and the angular velocity of the rotor. A Backstepping control law is designed from the input-output linearization of the PMSM model, written in d-q coordinates. This controller is adapted through a load torque and friction reduced order observer to ensure high closed loop performance of the motor. An input-state stability analysis of the entire system is also provided. Co-simulation via the MATLAB/Simulink-PSIM package, including realistic measurement disturbances, are used to investigate the stability and accuracy of the proposed control algorithm. The simulation results are examined and confirmed through laboratory experiments.978-1-4799-7800-7/15/$31.00 ©2015 IEEE

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A comparison between the algebraic and the reduced order observer approaches for on‐line load torque estimation in a unit power factor rectifier‐DC motor system

Cited by 32 publications

References 22 publications

Acceleration feedback via an algebraic state estimation method

Acceleration feedback via an algebraic state estimation method

Parameter identification of a permanent magnet synchronous motor

Robust backstepping tracking controller for low speed PMSM positioning system: Design, analysis, and implementation

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