Robust control of translational cable-driven robots

In this paper, a robust H∞ controller is designed for a three-dimensional cable-driven robot. This robot is designed to have translational motions and the rotational motion is restricted. The proposed H » controller guarantees the system stability during trajectory tracking tasks; however, it has less computational complexity in comparison with previous robust and adaptive controllers. The variation of robot's Jacobin matrix that causes nonlinearity in the system dynamics is taken into account as an uncertainty. In addition, the end-effector inertia and the friction coefficients of cable pulleys are also considered as other parametric (structured) uncertainties, and bounded disturbances are assumed in the system. The appropriate robust tracking performance of the controller is illustrated by performing some simulation studies on an uncertain cable-driven robot.

[1]  Mojtaba Sharifi,et al.  Tele-echography of moving organs using an Impedance-controlled telerobotic system , 2017 .

[2]  Imme Ebert-Uphoff,et al.  Force-feasible workspace analysis for underconstrained, point-mass cable robots , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[3]  Imme Ebert-Uphoff,et al.  Wrench-feasible workspace generation for cable-driven robots , 2006, IEEE Transactions on Robotics.

[4]  Mojtaba Sharifi,et al.  Nonlinear robust adaptive Cartesian impedance control of UAVs equipped with a robot manipulator , 2015, Adv. Robotics.

[5]  Hamed Moradi,et al.  Robust control of the variable speed wind turbines in the presence of uncertainties: A comparison between H∞ and PID controllers , 2015 .

[6]  Sunil K. Agrawal,et al.  Cable suspended robots: feedback controllers with positive inputs , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[7]  Firooz Bakhtiari-Nejad,et al.  Robust control of an industrial boiler system; a comparison between two approaches: Sliding mode control & H∞ technique , 2009 .

[8]  Hamid D. Taghirad,et al.  Adaptive robust control of fully-constrained cable driven parallel robots , 2015 .

[9]  B. Y. Duan,et al.  Dynamic modeling and active control of a cable-suspended parallel robot , 2008 .

[10]  Paolo Gallina,et al.  Planar Translational Cable-Direct-Driven Robots , 2003, J. Field Robotics.

[11]  Hamid D. Taghirad,et al.  Robust PID control of fully-constrained cable driven parallel robots , 2014 .

[12]  So-Ryeok Oh,et al.  Generation of feasible set points and control of a cable robot , 2006, IEEE Transactions on Robotics.

[13]  Saeed Behzadipour,et al.  Nonlinear Bilateral Adaptive Impedance Control With Applications in Telesurgery and Telerehabilitation , 2016 .

[14]  Sadao Kawamura,et al.  High-speed manipulation by using parallel wire-driven robots , 2000, Robotica.

[15]  M. Sharifi,et al.  Model reference adaptive impedance control of rehabilitation robots in operational space , 2012, 2012 4th IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob).

[16]  Omid Saber.  A Spatial Translational Cable Robot , 2015 .

[17]  Clément Gosselin,et al.  Analysis of the wrench-closure workspace of planar parallel cable-driven mechanisms , 2006, IEEE Transactions on Robotics.

[18]  Bin Zi,et al.  Analysis and control of the cable-supporting system including actuator dynamics , 2011 .

[19]  Hamid D. Taghirad,et al.  Adaptive robust control of fully constrained cable robots: singular perturbation approach , 2016 .

[20]  Hamid D. Taghirad,et al.  Wrench feasible workspace analysis of cable-driven parallel manipulators using LMI approach , 2009, 2009 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.