Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers

Minimizing the vibrations of flexible structures during maneuvering is a challenging problem. Input shaping control is an effective way to reduce vibration, but in some cases, it does not guarantee a final rest state. In particular, if the initial state is not at rest, then it is difficult to bring...

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Main Authors: Shambo Bhattacharjee, Jae Jun Kim, Jennifer Hudson
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/6/2952
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author Shambo Bhattacharjee
Jae Jun Kim
Jennifer Hudson
author_facet Shambo Bhattacharjee
Jae Jun Kim
Jennifer Hudson
author_sort Shambo Bhattacharjee
collection DOAJ
description Minimizing the vibrations of flexible structures during maneuvering is a challenging problem. Input shaping control is an effective way to reduce vibration, but in some cases, it does not guarantee a final rest state. In particular, if the initial state is not at rest, then it is difficult to bring the final state to rest at the end of a maneuver. This article proposes the use of a single-switch reference control combined with an optimized Zero Vibration Derivative-Derivative (ZVDD) shaper. The ZVDD-shaped torque profile is defined by a small number of parameters, which can be optimized by a standard numerical optimization algorithm. The resulting control is effective in reducing vibration and bringing the final state to rest, regardless of the starting conditions. Two examples related to rest-to-rest control and non-rest-to-rest control are presented.
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spelling doaj-art-1448e96f5aa6426eaebbd89f6d5025f52025-08-20T03:43:51ZengMDPI AGApplied Sciences2076-34172025-03-01156295210.3390/app15062952Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest ManeuversShambo Bhattacharjee0Jae Jun Kim1Jennifer Hudson2Mechanical and Aerospace Engineering, Naval Postgraduate School, 1 University Circle, Monterey, CA 93943, USAMechanical and Aerospace Engineering, Naval Postgraduate School, 1 University Circle, Monterey, CA 93943, USAMechanical and Aerospace Engineering, Naval Postgraduate School, 1 University Circle, Monterey, CA 93943, USAMinimizing the vibrations of flexible structures during maneuvering is a challenging problem. Input shaping control is an effective way to reduce vibration, but in some cases, it does not guarantee a final rest state. In particular, if the initial state is not at rest, then it is difficult to bring the final state to rest at the end of a maneuver. This article proposes the use of a single-switch reference control combined with an optimized Zero Vibration Derivative-Derivative (ZVDD) shaper. The ZVDD-shaped torque profile is defined by a small number of parameters, which can be optimized by a standard numerical optimization algorithm. The resulting control is effective in reducing vibration and bringing the final state to rest, regardless of the starting conditions. Two examples related to rest-to-rest control and non-rest-to-rest control are presented.https://www.mdpi.com/2076-3417/15/6/2952input shapingrest-to-rest controlvibration reductionnon-rest-to-rest controltrajectory optimization
spellingShingle Shambo Bhattacharjee
Jae Jun Kim
Jennifer Hudson
Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
Applied Sciences
input shaping
rest-to-rest control
vibration reduction
non-rest-to-rest control
trajectory optimization
title Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
title_full Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
title_fullStr Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
title_full_unstemmed Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
title_short Input Shaping Control of a Flexible Structure for Rest-to-Rest and Non-Rest-to-Rest Maneuvers
title_sort input shaping control of a flexible structure for rest to rest and non rest to rest maneuvers
topic input shaping
rest-to-rest control
vibration reduction
non-rest-to-rest control
trajectory optimization
url https://www.mdpi.com/2076-3417/15/6/2952
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