Mass measurement using a system containing an on-off relay with dead zone

Mizuno, Takeshi; Takeuchi, Minoru

doi:10.1109/sice.2002.1195194

Cited by 2 publications

(3 citation statements)

References 7 publications

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“…16 The other feeds back the displacement through an on-off relay with dead zone. 17 The advantage of the former over the latter is the simpler logic of relay feedback. Two on-states appear in the former while three states consisting of two on-states and one off-state appear in the latter.…”

Section: Introductionmentioning

confidence: 99%

Position-insensitive estimation of mass from limit cycle of velocity feedback relay system with Spring

Mizuno

Egawa

Takasaki

et al. 2021

Measurement and Control

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Mass measurement using relay feedback of velocity and restoring force compensation is investigated for determining the mass of an object under weightless conditions. In the measurement system, the velocity of the object is fed back through a relay with hysteresis and the force acting on the object is switched from a positive value to a negative value when the velocity reaches a positive threshold and vice versa. As a result, a limit cycle is induced in the measurement system and the mass is estimated based on the period of the limit cycle. In addition, restoring force compensation with a spring is introduced to avoid the drift of the trajectory. This compensation makes the static equilibrium state unique. However, the trajectory still drifts slightly. It causes some error in measurement when a simple formula of estimating mass is applied. To eliminate such an error, a new formula is derived to estimate the mass independently of the position of the trajectory that is determined by the switching positions in the relay actions. When the switching positions deflect from the origin at which the spring is in the natural length, the trajectory is not at the center and becomes asymmetric. It is analytically shown that the period of the limit cycle is minimum when the switching positions are at the origin. It indicates that mass is overestimated with the simple estimation formula when the trajectory is not at the center. The validity of the modified formula and the analytical results are confirmed experimentally.

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Section: Introductionmentioning

confidence: 99%

Position-insensitive estimation of mass from limit cycle of velocity feedback relay system with Spring

Mizuno

Egawa

Takasaki

et al. 2021

Measurement and Control

View full text Add to dashboard Cite

show abstract

“…Various methods of measuring mass under weightless conditions have been proposed [1][2][3][4][5][6][7][8][9][10]. The authors have proposed to apply relay feedback to mass measurement [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…There are two types. One of them uses an on-off relay with dead zone and feeds back the displacement of an object to be measured [9]. The other uses a relay with hysteresis and feeds back the velocity of the object [10].…”

Section: Introductionmentioning

confidence: 99%

Analysis on the effect of stiffness on mass measurement using a relay feedback of velocity

Mizuno

Ishino

Takasaki

2008

2008 SICE Annual Conference

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This paper treats a relay-feedback mass measurement system that uses a relay with hysteresis and feeds back the velocity of the object. The efficacy of the proposed method has been already confirmed experimentally. In actual measurement, however, a spring-like element must be added for avoiding the drift of the object. The effect of this spring on mass estimation has not been investigated analytically. In this paper, an estimating equation including this effect is derived. The derived equation indicates that the estimated mass is smaller than the actual value when the conventional estimating equation is used. The experiments carried out in the fabricated apparatus support well the validity of the derived estimating equation.

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Mass measurement using a system containing an on-off relay with dead zone

Cited by 2 publications

References 7 publications

Position-insensitive estimation of mass from limit cycle of velocity feedback relay system with Spring

Position-insensitive estimation of mass from limit cycle of velocity feedback relay system with Spring

Analysis on the effect of stiffness on mass measurement using a relay feedback of velocity

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