Modeling Mechanical Impedance of Environment in Flexible Robotics Applications

Control of flexible robots that interact with the environment presents some difficulties mainly due to the fact that mechanical impedance of such environment is unknown. This paper deals with modeling the mechanical impedance of the environment when an one-link flexible arm contacts it. Elastic and viscoelastic models, the latter of both integer and fractional orders, are considered in this work to classify the contacted environment. Experimental results, corresponding to impacts with 26 different soft objects, are given to identify the parameters of the above-mentioned models. The goodness of the adjustment of each model is analyzed by a set of performance indices. Results show that, in most cases, the best characterization is provided by the viscoelastic model of fractional order.

[1]  Inés Tejado,et al.  Fractional Order Human Arm Dynamics With Variability Analyses , 2013 .

[2]  H. Akaike A new look at the statistical model identification , 1974 .

[3]  Vicente Feliu,et al.  Fractional-order Control of a Flexible Manipulator , 2007 .

[4]  Luca Cipelletti,et al.  Power law viscoelasticity of a fractal colloidal gel , 2018, Journal of Rheology.

[5]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[6]  Patrick Lanusse,et al.  Fractional Order Controller Design for A Flexible Link Manipulator Robot , 2013 .

[7]  Richard L. Magin,et al.  Fractional calculus models of complex dynamics in biological tissues , 2010, Comput. Math. Appl..

[8]  Jianying Hu,et al.  Pattern Switching in Soft Cellular Structures and Hydrogel-Elastomer Composite Materials under Compression , 2017, Polymers.

[9]  Daniel Feliu-Talegon,et al.  Stable force control and contact transition of a single link flexible robot using a fractional-order controller. , 2019, ISA transactions.

[10]  Shailaja Kurode,et al.  Fractional order sliding mode control for single link flexible manipulator , 2013, 2013 IEEE International Conference on Control Applications (CCA).

[11]  K. Tsujii Fractal Materials and Their Functional Properties , 2008 .

[12]  Abul K. M. Azad,et al.  Flexible Robot Manipulators: Modelling, simulation and control , 2017 .

[13]  F. Mainardi Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[14]  V. Feliu Robots Flexibles: Hacia una Generación de Robots con Nuevas Prestaciones , 2009 .

[15]  Imin Kao,et al.  Modeling of Contact Mechanics and Friction Limit Surfaces for Soft Fingers in Robotics, with Experimental Results , 1999, Int. J. Robotics Res..

[16]  I. Payo,et al.  Force Control of a Single-Link Flexible Arm , 2006, 2006 IEEE International Conference on Mechatronics.

[17]  Ismael Payo,et al.  Force control of a very lightweight single-link flexible arm based on coupling torque feedback , 2009 .

[18]  Mouhacine Benosman,et al.  Control of flexible manipulators: A survey , 2004, Robotica.

[19]  Clara-Mihaela Ionescu,et al.  The role of fractional calculus in modeling biological phenomena: A review , 2017, Commun. Nonlinear Sci. Numer. Simul..

[20]  M. Takenaka Analyses of Hierarchical Structures of Soft Materials by Using Combined Scattering Methods , 2011 .

[21]  Y. Liu,et al.  From kinetic-structure analysis to engineering crystalline fiber networks in soft materials. , 2013, Physical chemistry chemical physics : PCCP.

[22]  R. Malayalamurthi,et al.  Assessment of contact characteristics of soft fingertip applied for multi-profile grasping , 2018, IOP Conference Series: Materials Science and Engineering.

[23]  Z. Vosika,et al.  Fractional Calculus Model of Electrical Impedance Applied to Human Skin , 2013, PloS one.

[24]  R. Magin Fractional Calculus in Bioengineering , 2006 .

[25]  Shailaja Kurode,et al.  Fractional order modeling and control of a flexible manipulator using sliding modes , 2014, 2014 American Control Conference.