Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects

In many linear quadratic (LQ) optimal regulator problems, the tuning of design parameters such as weighting coefficients in the criterion function depends on trial-and-error simulations. In this note, an LQ optimal regulator is used to prevent tumbling from power-assisted carts. The cart has two act...

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Main Authors: Susumu HARA, Teppei SAIKI, Kota YUCHI, Takahito YOSHIURA
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2013-11-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/7/4/7_800/_pdf/-char/en
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author Susumu HARA
Teppei SAIKI
Kota YUCHI
Takahito YOSHIURA
author_facet Susumu HARA
Teppei SAIKI
Kota YUCHI
Takahito YOSHIURA
author_sort Susumu HARA
collection DOAJ
description In many linear quadratic (LQ) optimal regulator problems, the tuning of design parameters such as weighting coefficients in the criterion function depends on trial-and-error simulations. In this note, an LQ optimal regulator is used to prevent tumbling from power-assisted carts. The cart has two actuators: a DC servomotor that drives the cart, where power assistance is realized by impedance control of the motor; and a linear motor actuator to prevent the conveyed objects from tumbling. This note mainly discusses a systematic LQ optimal regulator design method for the latter actuator. The relationships between the feedback gain tuning of the tumble prevention actuator and controlled object responses were examined by simulation. Actual feedback gains were then determined by gain scheduling of the gains obtained a priori based on the relationships, control specifications and constraints. The effectiveness of the design method was verified by simulation examples.
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spelling doaj.art-dcfef9a04f8147248c407c39ee63a47a2022-12-22T03:39:23ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542013-11-017480080710.1299/jamdsm.7.800jamdsmTuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed ObjectsSusumu HARA0Teppei SAIKI1Kota YUCHI2Takahito YOSHIURA3Graduate School of Engineering, Nagoya UniversitySchool of Engineering, Nagoya UniversityGraduate School of Engineering, Nagoya UniversityGraduate School of Engineering, Nagoya UniversityIn many linear quadratic (LQ) optimal regulator problems, the tuning of design parameters such as weighting coefficients in the criterion function depends on trial-and-error simulations. In this note, an LQ optimal regulator is used to prevent tumbling from power-assisted carts. The cart has two actuators: a DC servomotor that drives the cart, where power assistance is realized by impedance control of the motor; and a linear motor actuator to prevent the conveyed objects from tumbling. This note mainly discusses a systematic LQ optimal regulator design method for the latter actuator. The relationships between the feedback gain tuning of the tumble prevention actuator and controlled object responses were examined by simulation. Actual feedback gains were then determined by gain scheduling of the gains obtained a priori based on the relationships, control specifications and constraints. The effectiveness of the design method was verified by simulation examples.https://www.jstage.jst.go.jp/article/jamdsm/7/4/7_800/_pdf/-char/enmotion controloptimal controloptimal regulatorgain schedulingpower assistimpedance control
spellingShingle Susumu HARA
Teppei SAIKI
Kota YUCHI
Takahito YOSHIURA
Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
Journal of Advanced Mechanical Design, Systems, and Manufacturing
motion control
optimal control
optimal regulator
gain scheduling
power assist
impedance control
title Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
title_full Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
title_fullStr Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
title_full_unstemmed Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
title_short Tuning of LQ Feedback Gains for Power-Assisted Cart to Prevent Tumbling of Conveyed Objects
title_sort tuning of lq feedback gains for power assisted cart to prevent tumbling of conveyed objects
topic motion control
optimal control
optimal regulator
gain scheduling
power assist
impedance control
url https://www.jstage.jst.go.jp/article/jamdsm/7/4/7_800/_pdf/-char/en
work_keys_str_mv AT susumuhara tuningoflqfeedbackgainsforpowerassistedcarttopreventtumblingofconveyedobjects
AT teppeisaiki tuningoflqfeedbackgainsforpowerassistedcarttopreventtumblingofconveyedobjects
AT kotayuchi tuningoflqfeedbackgainsforpowerassistedcarttopreventtumblingofconveyedobjects
AT takahitoyoshiura tuningoflqfeedbackgainsforpowerassistedcarttopreventtumblingofconveyedobjects