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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Bibliographic Details
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
Description
Summary: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.