Frequency Response Estimation for Mechanical Systems Using Closed-Loop Step Response Data

Matsui, Yasuhiro; Kimura, Tomohiko; Nakano, Kazushi

doi:10.1541/ieejeiss.131.751

Cited by 16 publications

(3 citation statements)

References 4 publications

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“…

T_{d} (z) = normalc 2 normald [T_{c} (s), T_{s}]

\begin{matrix} T_{c} ((), s) = \frac{T_{1} s}{((), T_{1} s + 1) ((), T_{2} s + 1)}, \\ T_{1} = 100 T_{s}, T_{2} = 10 T_{s} \end{matrix}

where T s is the sampling time of obtained data and c2d[…,T s ] is the transformation to discrete time system by zero‐order hold for the sampling time T s . Similar to Matsui and colleagues , it is supposed that the operation band of T 1 and T 2 in Eq. is between 1/100 and 1/10 of sampling frequency, so that these parameters are selected such that the information of the main band is kept as well as possible, simultaneously low‐ and high‐frequency signals are cut, which cause problem at frequency transformation.…”

Section: Vrft In Frequency Domainmentioning

confidence: 91%

“…However, the discrete Fourier transformation calculates the data in finite interval as repetition signal, so that if initial and end values of data are different, unnecessary high frequency component is inserted, then necessary frequency response cannot be solved. Therefore, in this study, the method to use bandpass filter proposed by Matsui and colleagues is applied . This approach operates bandpass filter to data, so that the discontinuity caused between initial and end values of data is eliminated, then the frequency response originally required can be extracted.…”

Section: Vrft In Frequency Domainmentioning

confidence: 99%

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Virtual Feedback Reference Tuning Using Closed Loop Step Response Data in Frequency Domain

Masuda

Kong

Udagata

et al. 2017

Elect Comm in Japan

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SUMMARY The paper gives a controller tuning method using a virtual reference feedback tuning (VRFT) approach in frequency domain. While the original VRFT uses a data‐driven performance index based on input/output data directly, the proposed one derives a frequency domain performance index based on the Fourier transformation of one‐shot experimental input‐output data. The frequency domain performance index enables the optimal prefilter to be straightforwardly designed without using the spectral density of the collected input signal. Hence, the proposed one outperforms the original one when the input and output data are collected from the closed loop step response. The effectiveness of the proposed method is illustrated through a numerical example.

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“…

T_{d} (z) = normalc 2 normald [T_{c} (s), T_{s}]

\begin{matrix} T_{c} ((), s) = \frac{T_{1} s}{((), T_{1} s + 1) ((), T_{2} s + 1)}, \\ T_{1} = 100 T_{s}, T_{2} = 10 T_{s} \end{matrix}

Section: Vrft In Frequency Domainmentioning

confidence: 91%

Section: Vrft In Frequency Domainmentioning

confidence: 99%

Virtual Feedback Reference Tuning Using Closed Loop Step Response Data in Frequency Domain

Masuda

Kong

Udagata

et al. 2017

Elect Comm in Japan

Self Cite

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show abstract

“…input and output waves of the voltage step response using the method that was proposed in [20]. Additionally, both the resonance and anti-resonance points can be found in these figures.…”

Section: Pid Control For Industrial Processes 200mentioning

confidence: 96%

PID Controller Design Methods for Multi-Mass Resonance System

Ikeda¹

2018

PID Control for Industrial Processes

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Motor drive systems are indispensable for applications in the industrial field. High-speed and high-accuracy control is required for motor drive systems. However, solutions to meet these requirements can cause mechanical resonance vibrations to occur in the system as a result of miniaturization and system weight reduction. It is therefore necessary to model these systems as multi-mass resonance systems with multiple masses and finite rigid shafts, gears, and loads. In addition, vibration suppression control should be applied to these systems. This chapter provides two off-line tuning methods for a digital proportional-integral-derivative (PID)-type controller for a two-mass resonance system to suppress its mechanical resonance vibrations. These methods include a coefficient diagram method and a fictitious reference iterative tuning method. The former method uses a nominal mathematical model of the object while the latter method uses only the initial experimental data without use of the mathematical model. In this chapter, the two methods are compared. A controller is proposed that consists of a modified integralproportional derivative (I-PD) speed controller and a proportional-integral (PI) current controller, and requires no information about the load side state variables. Finally, the effectiveness of the proposed method is confirmed through computer simulations and experimental results.

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An Application of Fictitious Reference Iterative Tuning to State Feedback Control

Matsui¹,

Akamatsu²,

Kimura³

et al. 2013

Elect Comm in Japan

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SUMMARY This paper proposes the use of the fictitious reference iterative tuning (FRIT) method, which has been developed for controller gain tuning in single‐input single‐output systems, in state feedback gain tuning for a single‐input multivariable system. The transient response data for a single‐input multivariable plant obtained in closed‐loop operation is used for model matching by FRIT in the time domain. The data is also used in the frequency domain to estimate the stability and improve the control performance of the closed‐loop system with the state feedback gain tuned by the FRIT method. The FRIT method is applied to a state feedback control system for an inverted pendulum with an inertial rotor, and its usefulness is illustrated through experiments. © 2013 Wiley Periodicals, Inc. Electron Comm Jpn, 97(1): 1–11, 2014; Published online in Wiley Online Library (http://wileyonlinelibrary.com). DOI 10.1002/ecj.11506

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Frequency Response Estimation for Mechanical Systems Using Closed-Loop Step Response Data

Cited by 16 publications

References 4 publications

Virtual Feedback Reference Tuning Using Closed Loop Step Response Data in Frequency Domain

Virtual Feedback Reference Tuning Using Closed Loop Step Response Data in Frequency Domain

PID Controller Design Methods for Multi-Mass Resonance System

An Application of Fictitious Reference Iterative Tuning to State Feedback Control

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