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Sensorless Torque Estimation using Adaptive Kalman Filter and ...

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plant model as its sub-model. In addition, we used a PID<br />

controller for the disturbance estimation. However, any kind<br />

of controller <strong>and</strong> control technique can be used which can<br />

make the estimator stable.<br />

<br />

Fig. 8.<br />

<br />

Fig. 9.<br />

<br />

Measurement (Disturbance Estimator)<br />

<br />

<strong>Estimation</strong> result of the disturbance estimator<br />

of the disturbance estimator again.<br />

VI. CONCLUSIONS<br />

This paper proposed a stochastic estimation method <strong>and</strong><br />

a signal processing based method for the purpose of disturbance<br />

torque estimation without force sensors. The AKF<br />

based method presented robustness against the measurement<br />

noise. When the measurements have a lot of noise, <strong>and</strong> its<br />

characteristic is unknown, this method can be one of the<br />

reliable methods.<br />

Through the section IV <strong>and</strong> V, we proposed several merits<br />

of the disturbance estimator, <strong>and</strong> they can be summarized<br />

as follows: (i) Wherever the disturbance injected between<br />

two measurements(I <strong>and</strong> θ I,D ), the disturbance estimator<br />

estimates the total disturbance as asymptotically stable. (ii)<br />

The disturbance estimator inherits the structure of the system<br />

model. Thus it provide the instinctive <strong>and</strong> direct application.<br />

(iii) Unrestricted selection of the measurement type is possible.<br />

(iv) We can determine the types of disturbance included<br />

in the total disturbance by considering sub-model of the<br />

disturbance estimator. In addition to the merits mentioned<br />

above, when the disturbance estimator used for feedback<br />

compensation, the disturbance estimator will try to make<br />

the system act as same with the sub-model. Because all<br />

the effects not considered in the sub-model is estimated<br />

as the disturbance. In consequence, direct <strong>and</strong> fast loop<br />

shaping could be achieved. Feedback control, loop shaping<br />

<strong>and</strong> extending to the nonlinear disturbance estimator are our<br />

future works. In this paper, a DC motor model is used<br />

for total disturbance estimation. However, the disturbance<br />

estimator can be used in countless system simply having the<br />

ACKNOWLEDGEMENT<br />

This research was supported by the institute of Medical<br />

System Engineering(iMSE) in the GIST, <strong>and</strong> by the<br />

MKE(The Ministry of Knowledge Economy), Korea, under<br />

the ITRC(Information Technology Research Center) support<br />

program supervised by the NIPA(National IT Industry Promotion<br />

Agency) (NIPA-2010-C1090-1031-0006)<br />

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