Abstract

This paper presents a new nonlinear filtering method based on the Hunt-Crossley model for online nonlinear soft tissue characterization. This method overcomes the problem of performance degradation in the unscented Kalman filter due to contact model error. It adopts the concept of Mahalanobis distance to identify contact model error, and further incorporates a scaling factor in predicted state covariance to compensate identified model error. This scaling factor is determined according to the principle of innovation orthogonality to avoid the cumbersome computation of Jacobian matrix, where the random weighting concept is adopted to improve the estimation accuracy of innovation covariance. A master-slave robotic indentation system is developed to validate the performance of the proposed method. Simulation and experimental results as well as comparison analyses demonstrate that the efficacy of the proposed method for online characterization of soft tissue parameters in the presence of contact model error.

Highlights

  • Soft tissue properties are important for robotic-assisted minimally invasive surgery to achieve realistic haptic feedback and stable robotic control

  • H-Conly contact model nonlinearwith soft computational correcting state covariance in the timeforsegments tissue characterization in the presence of model error. This method identifies model error using the Mahalanobis distance and further incorporates a dynamic scaling factor in predicted state covariance to online compensate identified model error. This scaling factor is determined by combining the principle of innovation orthogonality with the random weighting concept to avoid the cumbersome computation of Jacobian matrix and provide reliable estimation for innovation covariance

  • This paper presents a new method based on the nonlinear H-C contact model for nonlinear soft tissue characterization in the presence of model error

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Summary

Introduction

Soft tissue properties are important for robotic-assisted minimally invasive surgery to achieve realistic haptic feedback and stable robotic control. It can provide estimations in accuracy of minimum mean-square error Both RLS and KF are a linear estimation algorithm, unsuitable for the use with the nonlinear H-C model for soft tissue characterization [8]. This paper presents a new nonlinear filtering method based on the nonlinear H-C contact model by combining the concepts of ST and random weighting into UKF for online soft tissue characterization. This method adopts the ST concept to address the UKF problem of performance degradation due to contact model error. Simulations, practical experiments, and comparison analysis with UKF have been conducted to comprehensively evaluate the performance of the proposed method

Nonlinear Hunt-Crossley Contact Model
Analysis of Unscented Kalman Filter
Random Weighting Strong Tracking Unscented Kalman Filter
Correction of Predicted State Covariance
Identification of Model Error
Performance Evaluation and Discussions
Initial State Estimation
Initial State Estimation Error contact
Model Simplification Error
Local Modelling Error
Robotic Indentation
Conclusions
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