Output-Based Control of Robots with Variable Stiffness Actuation

The output-based control of a redundant robotic manipulator with relevant and adjustable joint stiffness is addressed. The proposed controller is configured as a cascade system that allows the decoupling of the actuators dynamics from the arm dynamics and the consequent reduction of the order of the manipulator dynamic model. Moreover, the proposed controller does not require the knowledge of the whole robot state: only the positions of the actuators and of the joints are necessary. This approach represents a significant simplification with respect to previously proposed state feedback techniques. The problem of controlling simultaneously the position trajectory and the desired stiffness in both the joint and work space is investigated, and the relations between the manipulator redundancy and the selection of both the joint and work space stiffness of the manipulator are discussed. The effectiveness of the proposed approach is verified by simulations of a 3 degrees of freedom planar manipulator.

[1]  J. Salisbury,et al.  Active stiffness control of a manipulator in cartesian coordinates , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[2]  Libor Preucil,et al.  European Robotics Symposium 2008 , 2008 .

[3]  P. Tomei Robust adaptive friction compensation for tracking control of robots , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[4]  Rob Dekkers,et al.  Control of Robot Manipulators in Joint Space , 2005 .

[5]  Alberto Isidori,et al.  Nonlinear Control Systems II , 1999 .

[6]  Dongjun Hyun,et al.  Variable stiffness mechanism for human-friendly robots , 2010 .

[7]  Antonio Bicchi,et al.  Variable Stiffness Actuators for Fast and Safe Motion Control , 2003, ISRR.

[8]  Wei Lin,et al.  On semi-global stabilizability of MIMO nonlinear systems by output feedback , 2006, Autom..

[9]  Alessandro De Luca,et al.  On the feedback linearization of robots with variable joint stiffness , 2008, 2008 IEEE International Conference on Robotics and Automation.

[10]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[11]  A. Teel,et al.  Global stabilizability and observability imply semi-global stabilizability by output feedback , 1994 .

[12]  M. Spong Modeling and Control of Elastic Joint Robots , 1987 .

[13]  Zhiwei Luo,et al.  On the stiffness and stiffness control of redundant manipulators , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[14]  Gabriele Vassura,et al.  Differentiated layer design to modify the compliance of soft pads for robotic limbs , 2009, 2009 IEEE International Conference on Robotics and Automation.

[15]  Kazuhito Yokoi,et al.  A Method Of Compliance Control For A Redundant Manipulator , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  G. Hirzinger,et al.  A new variable stiffness design: Matching requirements of the next robot generation , 2008, 2008 IEEE International Conference on Robotics and Automation.

[17]  Antonio Bicchi,et al.  Fast and "soft-arm" tactics [robot arm design] , 2004, IEEE Robotics & Automation Magazine.

[18]  Wan Kyun Chung,et al.  Stiffness analysis and control of redundant manipulators , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[19]  Rafael Kelly,et al.  Control of Robot Manipulators in Joint Space , 2005 .

[20]  Alin Albu-Schäffer,et al.  Safety Analysis for a Human-Friendly Manipulator , 2010, Int. J. Soc. Robotics.

[21]  James P. Schmiedeler,et al.  A Unidirectional Series-Elastic Actuator Design Using a Spiral Torsion Spring , 2009 .

[22]  Donald Russell,et al.  Mechanics and stiffness limitations of a variable stiffness actuator for use in prosthetic limbs , 1999 .

[23]  Stephen P. DeWeerth,et al.  Novel Nonlinear Elastic Actuators for Passively Controlling Robotic Joint Compliance , 2007 .

[24]  A. Tornambè Output feedback stabilization of a class of non-minimum phase nonlinear systems , 1992 .

[25]  Alessandro De Luca,et al.  Sensorless Robot Collision Detection and Hybrid Force/Motion Control , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[26]  Giorgio Grioli,et al.  VSA-II: a novel prototype of variable stiffness actuator for safe and performing robots interacting with humans , 2008, 2008 IEEE International Conference on Robotics and Automation.

[27]  Gianluca Palli,et al.  Robust control of robots with variable joint stiffness , 2009, 2009 International Conference on Advanced Robotics.

[28]  G.A. Pratt,et al.  Series elastic actuator development for a biomimetic walking robot , 1999, 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (Cat. No.99TH8399).

[29]  Rajnikant V. Patel,et al.  Control of Redundant Robot Manipulators: Theory and Experiments , 2005 .

[30]  N. Hogan,et al.  Impedance Control:An Approach to Manipulation,Parts I,II,III , 1985 .

[31]  Alessandro De Luca,et al.  Nonlinear decoupled motion-stiffness control and collision detection/reaction for the VSA-II variable stiffness device , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[32]  A. Isidori Nonlinear Control Systems , 1985 .

[33]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation: Part I—Theory , 1985 .

[34]  Gerd Hirzinger,et al.  Feedback linearization and simultaneous stiffness-position control of robots with antagonistic actuated joints , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[35]  Alin Albu-Schäffer,et al.  Impedance control for variable stiffness mechanisms with nonlinear joint coupling , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[36]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation , 1984, 1984 American Control Conference.

[37]  Xiaoou Li,et al.  PD control of robot with velocity estimation and uncertainties compensation , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[38]  E. S. Shin,et al.  Robust output feedback control of robot manipulators using high-gain observer , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[39]  Bruno Siciliano,et al.  Modeling and Control of Robot Manipulators , 1995 .