Document Type : Full Research Paper

Authors

1 M.Sc, Faculty of Mechanical Engineering, Amirkabir University of Technology

2 Assistant Professor, Faculty of Mechanical Engineering, Amirkabir University of Technology

3 Professor, Faculty of Mechanical Engineering, Amirkabir University of Technology

4 Ph.D Student, Faculty of Mechanical Engineering, Amirkabir University of Technology

10.22041/ijbme.2013.13130

Abstract

This paper addresses a new control scheme for bilateral telesurgical system with flexible links surgical robot. In this regard, hybrid structure of feedback and feedforward controller is suggested for flexible slave robot. This approach utilizes capability of Input Shaping (IS) as feedforward controller to reduce vibration at robot’s end tip and the feedback controller based on collocated Proportional-Derivative (PD) for control rigid body motion of the system. Stability of closed loop input shaper for nonlinear systems is discussed for the first time in this article. The stability conditions for overall system with constant communication time delay are derived using lyapunov method. Due to the independence of the system parameters, combination of these controllers results stability robustness to parameter uncertainties. Moreover, It is shown that reshaped master command to slave’s controller improves tracking performance in the presence of robot flexibility. Simulation results are used to verify the main theoretical points of this paper and demonstrate the effectiveness of proposed control framework in terms of input tracking and vibration suppression.

Keywords

Main Subjects

[1]     Tavakoli M.,  Howe R.D., Haptic effects of surgical teleoperator flexibility; The international journal of robotic research, 2009; 28(10): 1289-1302.
[2]     Beasley R.A., Howe R.D., Increasing accuracy in Image-Guided robotic surgery through tip tracking and Model-based flexion correction; IEEE Transaction on robotics, 2009; 25(2): 292-302.
[3]     Atashzar S.F., Talebi H.A., Towhidkhah F., Shahbazi  M., Patel R.V., Shojae S., Control challenges in non-minimum phase Tele robotics systems; IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Budapest, 2011; 152-157.
[4]     Nu˜no E., Ortega R., Barabanov N., Basa˜nez L., A globally stable PD controller for bilateral teleoperators; IEEE TRANSACTIONS ON ROBOTICS, 2008; 24(3): 753-758.
[5]     Lee D., Spong M.W., Passive bilateral teleoperation with constant time delay; IEEE Transaction on robotics, 2006; 22(2): 269-281.
[6]     Mohamed Z., Tokhi M.O., Command shaping techniques for vibration control of a flexible robot manipulator; Mechatronics, 2004; 14: 69–90.
[7]     Chatlatanagulchai W., Prutthapong C., Input Shaping to Reduce Vibration in Human-Operated Very-Flexible-Link Robot Manipulator; KKU Engineering Journal, 2009; 36(1): 77-85. 
[8]     Vaughan J, Yano A, Singhose W; Comparison of robust input shapers; Journal of Sound and Vibration 2008; 315: 797–815.
[9]     Kapila V., Tzes A., Yan Q., Closed-loop Input Shaping for flexible structures using time-delay control; Proceedings of the 38’m Conference on Decision & Control, Phoenix, 1999; 1561-1566.
[10] Huey J.R., Singhose W., Trends in the stability properties of CLSS controllers: A Root-Locus analysis; IEEE Transaction on Control Systems Technology, 2010; 18(5): 1044-1056.
[11] Sun D., Mills J.K., Shan J., Tso S.K., A PZT actuator control of a single-link flexible manipulator based on linear velocity feedback and actuator placement; Mechatronics, 2004; 14: 381–401.
[12] Huey J.R., Sorensen K.L., Singhose W.E., Useful applications of closed-loop signal shaping controllers; Control Engineering Practice, 2008; 16: 836–846.