Adaptive Control of Haptic Interaction with Impedance and Admittance Type Virtual Environments

Adaptive nonlinear controllers have been proposed to improve the stability and transparency in haptic rendering. Through a separation of control and dynamic simulation, the proposed controllers can couple impedance-type haptic devices with impedance and admittance-type virtual environment simulators. The intervening dynamics of the interface, subject to stability constraints, can be replaced with an adjustable mass-damper tool within the proposed framework. Nonlinear dynamics for haptic device and parametric uncertainty in user's arm dynamics are considered in the design of controllers which require position, velocity and force measurements. The transparency and stability of the proposed haptic control systems are investigated using a Lyapunov analysis. The controllers are implemented on a two-axis impedance-type haptic device for interacting with impedance and admittance-type virtual environments. In the impedance-type environment, interaction with a virtual wall is modeled by a spring-damper coupler. This model along with an alternative constraint-based rigid wall model are employed in the admittance-type simulations. Although the two controllers behave similarly in free motion, the controller for admittance-type environments is capable of rendering markedly stiffer rigid contacts.

[1]  J. Edward Colgate,et al.  Issues in the haptic display of tool use , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[2]  J. Edward Colgate,et al.  Passivity of a class of sampled-data systems: Application to haptic interfaces , 1997, J. Field Robotics.

[3]  J. Edward Colgate,et al.  The Cobotic Hand Controller: Design, Control and Performance of a Novel Haptic Display , 2006, Int. J. Robotics Res..

[4]  John Kenneth Salisbury,et al.  A constraint-based god-object method for haptic display , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[5]  Gunter D. Niemeyer,et al.  Stability of Haptic Rendering: Discretization, , 2006 .

[6]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation: Part II—Implementation , 1985 .

[7]  John Kenneth Salisbury,et al.  Stability of Haptic Rendering: Discretization, Quantization, Time Delay, and Coulomb Effects , 2006, IEEE Transactions on Robotics.

[8]  Kenneth R. Boff,et al.  Engineering data compendium : human perception and performance , 1988 .

[9]  J. Edward Colgate,et al.  Passivity of a class of sampled-data systems: Application to haptic interfaces , 1997 .

[10]  Emilio Jesús Lázaro Sánchez,et al.  Control Algorithms for Haptic Interaction and Modifying the Dynamical Behavior of the Interface , 2005 .

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  Katherine J. Kuchenbecker,et al.  Shaping Event-Based Haptic Transients Via an Improved Understanding of Real Contact Dynamics , 2007, Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems (WHC'07).

[13]  Allison M. Okamura,et al.  Effects of position quantization and sampling rate on virtual-wall passivity , 2005, IEEE Transactions on Robotics.

[14]  J. Edward Colgate,et al.  Factors affecting the Z-Width of a haptic display , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[15]  Frank L. Lewis,et al.  Control of Robot Manipulators , 1993 .

[16]  Neal A. Tanner,et al.  Wave Haptics: Building Stiff Controllers from the Natural Motor Dynamics , 2007, Int. J. Robotics Res..

[17]  Vincent Hayward,et al.  Time-Domain Passivity Control of Haptic Interfaces with Tunable Damping Hardware , 2007, Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems (WHC'07).

[18]  Wen-Hong Zhu,et al.  Stability guaranteed teleoperation: an adaptive motion/force control approach , 2000, IEEE Trans. Autom. Control..

[19]  S. E. Salcudean,et al.  On the Emulation of Stiff Walls and Static Friction with a Magnetically Levitated Input/Output Devic , 1997 .

[20]  Blake Hannaford,et al.  Control law design for haptic interfaces to virtual reality , 2002, IEEE Trans. Control. Syst. Technol..

[21]  Kevin Cleary,et al.  Closed-Loop Force Control for Haptic Simulation of Virtual Environments , 2000 .

[22]  Michael D. Williams,et al.  Toward event-based haptics: rendering contact using open-loop force pulses , 2004, 12th International Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems, 2004. HAPTICS '04. Proceedings..

[23]  Shahin Sirouspour,et al.  Nonlinear and Filtered Force/Position Mappings in Bilateral Teleoperation With Application to Enhanced Stiffness Discrimination , 2009, IEEE Transactions on Robotics.

[24]  Robert L. Williams.  Control of Kinesthetic Haptic Interfaces in VR Applications , 1997 .

[25]  Blake Hannaford,et al.  Time domain passivity control of haptic interfaces , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).