Application of a differentiator-based adaptive super-twisting controller for a redundant cable-driven parallel robot

In this paper we present preliminary, experimental results of an Adaptive Super-Twisting Sliding-Mode Controller with time-varying gains for redundant Cable-Driven Parallel Robots. The sliding-mode controller is paired with a feed-forward action based on dynamics inversion. An exact sliding-mode differentiator is implemented to retrieve the velocity of the end-effector using only encoder measurements with the properties of finite-time convergence, robustness against perturbations and noise filtering. The platform used to validate the controller is a robot with eight cables and six degrees of freedom powered by \(940\,{\text {W}}\) compact servo drives. The proposed experiment demonstrates the performance of the controller, finite-time convergence and robustness in tracking a trajectory while subject to external disturbances up to approximately 400% the mass of the end-effector.

[1]  Hamid D. Taghirad,et al.  Adaptive Control of KNTU Planar Cable-Driven Parallel Robot with Uncertainties in Dynamic and Kinematic Parameters , 2015 .

[2]  Manfred Hiller,et al.  A real-time capable force calculation algorithm for redundant tendon-based parallel manipulators , 2008, 2008 IEEE International Conference on Robotics and Automation.

[3]  Andreas Pott,et al.  The CableRobot simulator large scale motion platform based on cable robot technology , 2016, 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[4]  Carlo Masone,et al.  Robust adaptive sliding mode control of a redundant cable driven parallel robot , 2015, 2015 19th International Conference on System Theory, Control and Computing (ICSTCC).

[5]  Andreas Pott,et al.  Pulley friction compensation for winch-integrated cable force measurement and verification on a cable-driven parallel robot , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[6]  Andreas Pott,et al.  Differential Kinematics for Calibration, System Investigation, and Force Based Forward Kinematics of Cable-Driven Parallel Robots , 2013 .

[7]  Andreas Pott,et al.  An Algorithm for Real-Time Forward Kinematics of Cable-Driven Parallel Robots , 2010 .

[8]  Andreas Pott,et al.  Closed-form Force Distribution for Parallel Wire Robots , 2009 .

[9]  Marc Gouttefarde,et al.  Dual-space adaptive control of redundantly actuated cable-driven parallel robots , 2013, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[10]  Yuri B. Shtessel,et al.  A novel adaptive-gain supertwisting sliding mode controller: Methodology and application , 2012, Autom..

[11]  Andreas Pott,et al.  Presentation of Experimental Results on Stability of a 3 DOF 4-Cable-Driven Parallel Robot Without Constraints , 2015 .

[12]  Fushun Zhang,et al.  Analysis and experiment of the feed cable-suspended structure for super antenna , 2008, 2008 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[13]  Philipp Miermeister,et al.  Modeling and analysis of cable vibrations for a cable-driven parallel robot , 2016, 2016 IEEE International Conference on Information and Automation (ICIA).

[14]  Jean-Pierre Merlet Checking the cable configuration of cable-driven parallel robots on a trajectory , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[15]  Jean-Pierre Merlet,et al.  Solving the Forward Kinematics of a Gough-Type Parallel Manipulator with Interval Analysis , 2004, Int. J. Robotics Res..

[16]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

[17]  Dragoljub Surdilovic,et al.  STRING-MAN: a new wire robot for gait rehabilitation , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[18]  Marc Gouttefarde,et al.  Adaptive Terminal Sliding Mode Control of a Redundantly-Actuated Cable-Driven Parallel Manipulator: CoGiRo , 2015 .