Model Predictive Path Integral Control of I2RIS Robot Using RBF Identifier and Extended Kalman Filter

Fuente: arXiv
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Auteurs principaux: Esfandiari, Mojtaba, Du, Pengyuan, Wei, Haochen, Gehlbach, Peter, Munawar, Adnan, Kazanzides, Peter, Iordachita, Iulian
Format: Preprint
Publié: 2025
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author Esfandiari, Mojtaba
Du, Pengyuan
Wei, Haochen
Gehlbach, Peter
Munawar, Adnan
Kazanzides, Peter
Iordachita, Iulian
author_facet Esfandiari, Mojtaba
Du, Pengyuan
Wei, Haochen
Gehlbach, Peter
Munawar, Adnan
Kazanzides, Peter
Iordachita, Iulian
contents Modeling and controlling cable-driven snake robots is a challenging problem due to nonlinear mechanical properties such as hysteresis, variable stiffness, and unknown friction between the actuation cables and the robot body. This challenge is more significant for snake robots in ophthalmic surgery applications, such as the Improved Integrated Robotic Intraocular Snake (I$^2$RIS), given its small size and lack of embedded sensory feedback. Data-driven models take advantage of global function approximations, reducing complicated analytical models' challenge and computational costs. However, their performance might deteriorate in case of new data unseen in the training phase. Therefore, adding an adaptation mechanism might improve these models' performance during snake robots' interactions with unknown environments. In this work, we applied a model predictive path integral (MPPI) controller on a data-driven model of the I$^2$RIS based on the Gaussian mixture model (GMM) and Gaussian mixture regression (GMR). To analyze the performance of the MPPI in unseen robot-tissue interaction situations, unknown external disturbances and environmental loads are simulated and added to the GMM-GMR model. These uncertainties of the robot model are then identified online using a radial basis function (RBF) whose weights are updated using an extended Kalman filter (EKF). Simulation results demonstrated the robustness of the optimal control solutions of the MPPI algorithm and its computational superiority over a conventional model predictive control (MPC) algorithm.
format Preprint
id arxiv_https___arxiv_org_abs_2503_14684
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Model Predictive Path Integral Control of I2RIS Robot Using RBF Identifier and Extended Kalman Filter
Esfandiari, Mojtaba
Du, Pengyuan
Wei, Haochen
Gehlbach, Peter
Munawar, Adnan
Kazanzides, Peter
Iordachita, Iulian
Robotics
Systems and Control
Modeling and controlling cable-driven snake robots is a challenging problem due to nonlinear mechanical properties such as hysteresis, variable stiffness, and unknown friction between the actuation cables and the robot body. This challenge is more significant for snake robots in ophthalmic surgery applications, such as the Improved Integrated Robotic Intraocular Snake (I$^2$RIS), given its small size and lack of embedded sensory feedback. Data-driven models take advantage of global function approximations, reducing complicated analytical models' challenge and computational costs. However, their performance might deteriorate in case of new data unseen in the training phase. Therefore, adding an adaptation mechanism might improve these models' performance during snake robots' interactions with unknown environments. In this work, we applied a model predictive path integral (MPPI) controller on a data-driven model of the I$^2$RIS based on the Gaussian mixture model (GMM) and Gaussian mixture regression (GMR). To analyze the performance of the MPPI in unseen robot-tissue interaction situations, unknown external disturbances and environmental loads are simulated and added to the GMM-GMR model. These uncertainties of the robot model are then identified online using a radial basis function (RBF) whose weights are updated using an extended Kalman filter (EKF). Simulation results demonstrated the robustness of the optimal control solutions of the MPPI algorithm and its computational superiority over a conventional model predictive control (MPC) algorithm.
title Model Predictive Path Integral Control of I2RIS Robot Using RBF Identifier and Extended Kalman Filter
topic Robotics
Systems and Control
url https://arxiv.org/abs/2503.14684