Online sparse Gaussian process based human motion intent learning for an electrically actuated lower extremity exoskeleton

The most important step for lower extremity exoskeleton is to infer human motion intent (HMI), which contributes to achieve human exoskeleton collaboration. Since the user is in the control loop, the relationship between human robot interaction (HRI) information and HMI is nonlinear and complicated, which is difficult to be modeled by using mathematical approaches. The nonlinear approximation can be learned by using machine learning approaches. Gaussian Process (GP) regression is suitable for high-dimensional and small-sample nonlinear regression problems. GP regression is restrictive for large data sets due to its computation complexity. In this paper, an online sparse GP algorithm is constructed to learn the HMI. The original training dataset is collected when the user wears the exoskeleton system with friction compensation to perform unconstrained movement as far as possible. The dataset has two kinds of data, i.e., (1) physical HRI, which is collected by torque sensors placed at the interaction cuffs for the active joints, i.e., knee joints; (2) joint angular position, which is measured by optical position sensors. To reduce the computation complexity of GP, grey relational analysis (GRA) is utilized to specify the original dataset and provide the final training dataset. Those hyper-parameters are optimized offline by maximizing marginal likelihood and will be applied into online GP regression algorithm. The HMI, i.e., angular position of human joints, will be regarded as the reference trajectory for the mechanical legs. To verify the effectiveness of the proposed algorithm, experiments are performed on a subject at a natural speed. The experimental results show the HMI can be obtained in real time, which can be extended and employed in the similar exoskeleton systems.

[1]  Yoshiyuki Sankai,et al.  HAL: Hybrid Assistive Limb Based on Cybernics , 2007, ISRR.

[2]  Carl E. Rasmussen,et al.  Sparse Spectrum Gaussian Process Regression , 2010, J. Mach. Learn. Res..

[3]  Hong Cheng,et al.  The relationship between physical human-exoskeleton interaction and dynamic factors: using a learning approach for control applications , 2014, Science China Information Sciences.

[4]  Carl E. Rasmussen,et al.  A Unifying View of Sparse Approximate Gaussian Process Regression , 2005, J. Mach. Learn. Res..

[5]  Feng Gao,et al.  Sparse Gaussian Process regression model based on ℓ1/2 regularization , 2013, Applied Intelligence.

[6]  K. Chang,et al.  Grey relational analysis based approach for data clustering , 2005 .

[7]  YaoguoDang,et al.  An improved grey relational analysis approach for panel data clustering , 2015 .

[8]  Zhijiang Du,et al.  Development of a wearable exoskeleton rehabilitation system based on hybrid control mode , 2016 .

[9]  S. Ramesh,et al.  Measurement and optimization of surface roughness and tool wear via grey relational analysis, TOPSIS and RSA techniques , 2016 .

[10]  Shuzhi Sam Ge,et al.  Human–Robot Collaboration Based on Motion Intention Estimation , 2014, IEEE/ASME Transactions on Mechatronics.

[11]  Carl E. Rasmussen,et al.  Gaussian Processes for Data-Efficient Learning in Robotics and Control , 2015, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  Matthias W. Seeger,et al.  Gaussian Processes For Machine Learning , 2004, Int. J. Neural Syst..

[13]  H. Kazerooni,et al.  Biomechanical design of the Berkeley lower extremity exoskeleton (BLEEX) , 2006, IEEE/ASME Transactions on Mechatronics.

[14]  Chih-Hung Tsai,et al.  Applying Grey Relational Analysis to the Vendor Evaluation Model Applying Grey Relational Analysis to the Vendor Evaluation Model , .

[15]  Siti Zaiton Mohd Hashim,et al.  Application of Grey Relational Analysis for Multivariate Time Series , 2008, 2008 Eighth International Conference on Intelligent Systems Design and Applications.

[16]  Carl E. Rasmussen,et al.  Infinite Mixtures of Gaussian Process Experts , 2001, NIPS.

[17]  Ming-Hsuan Yang,et al.  Online Sparse Gaussian Process Regression and Its Applications , 2011, IEEE Transactions on Image Processing.

[18]  Mu-Shang Yin,et al.  Fifteen years of grey system theory research: A historical review and bibliometric analysis , 2013, Expert Syst. Appl..

[19]  Juan C. Moreno,et al.  Lower Limb Wearable Robots for Assistance and Rehabilitation: A State of the Art , 2016, IEEE Systems Journal.

[20]  Long He,et al.  Development and analysis of an electrically actuated lower extremity assistive exoskeleton , 2017 .

[21]  Jan Peters,et al.  Local Gaussian process regression for real-time model-based robot control , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[22]  H. Kazerooni,et al.  Hybrid Control of the Berkeley Lower Extremity Exoskeleton (BLEEX) , 2005 .

[23]  S. K. Banala,et al.  Novel Gait Adaptation and Neuromotor Training Results Using an Active Leg Exoskeleton , 2010, IEEE/ASME Transactions on Mechatronics.

[24]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[25]  Weidong Wang,et al.  PSO-SVM-Based Online Locomotion Mode Identification for Rehabilitation Robotic Exoskeletons , 2016, Sensors.

[26]  José Luis Pons Rovira,et al.  Online Assessment of Human-Robot Interaction for Hybrid Control of Walking , 2011, Sensors.

[27]  Kenji Shimada,et al.  Learning based robot control with sequential Gaussian process , 2013, 2013 IEEE Workshop on Robotic Intelligence in Informationally Structured Space (RiiSS).

[28]  Marcus R. Frean,et al.  Dependent Gaussian Processes , 2004, NIPS.

[29]  Danica Kragic,et al.  Motion intention recognition in robot assisted applications , 2008, Robotics Auton. Syst..

[30]  Kian Hsiang Low,et al.  Generalized Online Sparse Gaussian Processes with Application to Persistent Mobile Robot Localization , 2014, ECML/PKDD.

[31]  Chang-Soo Han,et al.  The technical trend of the exoskeleton robot system for human power assistance , 2012 .