Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation

An optimal robot-environment interaction is designed by transforming an environment model into an optimal control problem. In the optimal control, the inverse differential Riccati equation is introduced as a fixed-end-point closed-loop optimal control over a specific time interval. Then, the environ...

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Main Authors: Nohooji, Hamed Rahimi, Howard, Ian, Cui, Lei
Format: Journal Article
Published: Wiley 2019
Online Access:http://purl.org/au-research/grants/arc/DE170101062
http://hdl.handle.net/20.500.11937/73586
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author Nohooji, Hamed Rahimi
Howard, Ian
Cui, Lei
author_facet Nohooji, Hamed Rahimi
Howard, Ian
Cui, Lei
author_sort Nohooji, Hamed Rahimi
building Curtin Institutional Repository
collection Online Access
description An optimal robot-environment interaction is designed by transforming an environment model into an optimal control problem. In the optimal control, the inverse differential Riccati equation is introduced as a fixed-end-point closed-loop optimal control over a specific time interval. Then, the environment model, including interaction force is formulated in a state equation, and the optimal trajectory is determined by minimizing a cost function. Position control is proposed, and the stability of the closed-loop system is investigated using the Lyapunov direct method. Finally, theoretical developments are verified through numerical simulation.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:57:17Z
publishDate 2019
publisher Wiley
recordtype eprints
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spelling curtin-20.500.11937-735862022-10-06T04:04:20Z Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation Nohooji, Hamed Rahimi Howard, Ian Cui, Lei An optimal robot-environment interaction is designed by transforming an environment model into an optimal control problem. In the optimal control, the inverse differential Riccati equation is introduced as a fixed-end-point closed-loop optimal control over a specific time interval. Then, the environment model, including interaction force is formulated in a state equation, and the optimal trajectory is determined by minimizing a cost function. Position control is proposed, and the stability of the closed-loop system is investigated using the Lyapunov direct method. Finally, theoretical developments are verified through numerical simulation. 2019 Journal Article http://hdl.handle.net/20.500.11937/73586 10.1002/asjc.2066 http://purl.org/au-research/grants/arc/DE170101062 Wiley fulltext
spellingShingle Nohooji, Hamed Rahimi
Howard, Ian
Cui, Lei
Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title_full Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title_fullStr Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title_full_unstemmed Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title_short Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
title_sort optimal robot-environment interaction using inverse differential riccati equation
url http://purl.org/au-research/grants/arc/DE170101062
http://hdl.handle.net/20.500.11937/73586