Open‐ and closed‐loop algebraic identification method for adaptive control of DC motors

Mamani, G.; Becedas, Jonathan; Feliu-Batlle, Vicente; Sira‐Ramírez, Hebertt

doi:10.1002/acs.1109

Cited by 15 publications

(11 citation statements)

References 15 publications

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“…Applying the Operational Calculus [4] to this last expression yields the following parametrization [6] …”

Section: A Algebraic Identification Methodsmentioning

confidence: 99%

“…On the other hand, references [4] and [5] present a novel algebraic identification approach based on the Operational calculus. This approach, which in the sequel will be termed as the Algebraic Identification Method (AIM), was applied for the parameter identification of a DC motor [6] and [7]. This approach has several interesting features.…”

Section: Introductionmentioning

confidence: 99%

“…The approach works with almost all kind of excitation signals; however, there exists the possibility of singularities in the solutions of the parameter estimates. Reference [6] employs the AIM for closed-loop identification of a DC motor model. The method simultaneously estimates the servomotor inertia and viscous friction; then, these estimates allow obtaining an estimate of the Coulomb friction.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Algebraic identification of a DC servomechanism using a Least Squares algorithm

Moctezuma

Concha

2011

Proceedings of the 2011 American Control Conference

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This paper proposes a parameter identification methodology based on a discrete-time Least Squares algorithm and a parametrization obtained using the Operational Calculus. References [4] and [5] proposed previously this parametrization and developed an Algebraic Identification Method (AIM) for parameter estimation of linear systems. The AIM employs theOperational Calculus to obtain analytical expressions for the parameter estimates. These expressions have a singularity at t=0 and certain excitation signals may also produce singularities at other time instants. The proposed approach employs the same parametrization obtained using the Operational Calculus, which is linear in the parameters, and employs a standard on-line discrete-time Least Squares algorithm. In this way, the proposed approach completely eliminates the problem of singularities; moreover, it is experimentally shown that the AIM and the proposed approach have similar performances.

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“…Applying the Operational Calculus [4] to this last expression yields the following parametrization [6] …”

Section: A Algebraic Identification Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Algebraic identification of a DC servomechanism using a Least Squares algorithm

Moctezuma

Concha

2011

Proceedings of the 2011 American Control Conference

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“…Finally, another interesting approach is presented in [2,4], where an online algebraic identification method is proposed. Besides, [19,20] show how this methodology can be used for parameter identification of a DC motor and also this methodology was used and modified in [21] introducing a batch least squares algorithm for estimating the parameters of an induction motor.…”

Section: Introductionmentioning

confidence: 99%

Closed-Loop Identification Applied to a DC Servomechanism: Controller Gains Analysis

Miranda-Colorado¹,

Castro²

2013

Mathematical Problems in Engineering

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Usually, when parameter identification is applied, there are some gains related to the identification algorithm whose value must be carefully adjusted in order to obtain a good performance of the algorithm. However, when performing closed loop identification, there are some other constants that in general are not taken into account for the identification algorithm: the controller gains, which may appear inside the identification algorithm, specifically in the regressor vector, which is very important for the parameter convergence according to the persistence of excitation condition. Therefore, the effect of these gains on the estimated parameters should be analyzed so that better estimates can be obtained. This paper addresses the behavior of the parameter estimates for a closed-loop identification methodology applied to a DC servomechanism with a bounded perturbation signal and a PD controller. It is shown that, with this perturbation, the parameter estimates converge to a region whose size can be modified not only by varying the identification algorithm gains but also by modifying the P and D controller gains in a suitable way.

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“…General system identification methods [1][2][3][4] can be applied to DC motor model identification. In particular, various methods have been applied to DC motor parameter identification; that is, [5,6] used the algebraic identification method, [7] used the recursive least square method, [8] applied the inverse theory, [9] used the least square method, and [10] applied the moments method. Identified DC motor models are often subsequently used for controller design and/or optimization, for example, [6,9,11].…”

Section: Introductionmentioning

confidence: 99%

DC Motor Parameter Identification Using Speed Step Responses

2012

Modelling and Simulation in Engineering

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Based on the DC motor speed response measurement under a step voltage input, important motor parameters such as the electrical time constant, the mechanical time constant, and the friction can be estimated. A power series expansion of the motor speed response is presented, whose coefficients are related to the motor parameters. These coefficients can be easily computed using existing curve fitting methods. Experimental results are presented to demonstrate the application of this approach. In these experiments, the approach was readily implemented and gave more accurate estimates than conventional methods.

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Open‐ and closed‐loop algebraic identification method for adaptive control of DC motors

Cited by 15 publications

References 15 publications

Algebraic identification of a DC servomechanism using a Least Squares algorithm

Algebraic identification of a DC servomechanism using a Least Squares algorithm

Closed-Loop Identification Applied to a DC Servomechanism: Controller Gains Analysis

DC Motor Parameter Identification Using Speed Step Responses

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