Hybrid control schemes for input tracking and vibration suppression of a flexible manipulator

Abstract This paper presents investigations into the development of hybrid control schemes for input tracking and end-point vibration suppression of a flexible manipulator system. The dynamic model of the flexible manipulator is derived using the finite element method. Initially, a collocated proportional-derivative (PD) controller utilizing hub angle and hub velocity feedback is developed for control of rigid-body motion of the system. This is then extended to incorporate a non-collocated proportional-integral-derivative (PID) controller and a feedforward controller based on input shaping techniques for control of vibration (flexible motion) of the system. Simulation results of the response of the manipulator with the controllers are presented in time and frequency domains. The performances of the hybrid control schemes are assessed in terms of input tracking and level of vibration reduction in comparison to the PD control. The effectiveness of the control schemes in handling various payloads is also studied. Finally, a comparative assessment of the hybrid control schemes is presented.

[1]  Z Mohamed,et al.  Vibration control of a single-link flexible manipulator using command shaping techniques , 2002 .

[2]  D. M. Aspinwall Acceleration Profiles for Minimizing Residual Response , 1979 .

[3]  Kevin Warwick,et al.  Control systems : an introduction , 1989 .

[4]  Warren P. Seering,et al.  Figure 1: Input Shaping by Convolving Desired Input with an Impulse Sequence. Comparison of Command Shaping Methods for Reducing Residual Vibration , 1995 .

[5]  A. Akay,et al.  Vibration reduction of a flexible arm by time-optimal open-loop control , 1991 .

[6]  J. Tlusty,et al.  Feedforward and feedback control of a flexible robotic arm , 1990, IEEE Control Systems Magazine.

[7]  R. H. Cannon,et al.  Initial Experiments on the End-Point Control of a Flexible One-Link Robot , 1984 .

[8]  M. O. Tokhi,et al.  Control of flexible manipulator systems using Gaussian shaped command inputs , 1996 .

[9]  W. Gevarter Basic relations for control of flexible vehicles , 1969 .

[10]  A.N. Moser Designing controllers for flexible structures with H-infinity/ mu -synthesis , 1993, IEEE Control Systems.

[11]  Prabhakar Kudva,et al.  Load-adaptive control of a single-link flexible manipulator , 1992, IEEE Trans. Syst. Man Cybern..

[12]  Jian-Shiang Chen,et al.  Experiments on the payload-adaptation of a flexible one-link manipulation with unknown payload , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[13]  Anthony Tzes,et al.  Experiments on Rigid Body Based Controllers with Input Preshaping for a Two-Link Flexible Manipulator , 1992 .

[14]  Kuldip S. Rattan,et al.  Adaptive control of a single-link flexible manipulator , 1990 .

[15]  Andrew A. Goldenberg,et al.  Tip control of a single-link flexible arm using a feedforward technique , 1989 .

[16]  Stephen Yurkovich,et al.  Rule-based control for a flexible-link robot , 1994, IEEE Trans. Control. Syst. Technol..

[17]  Warren P. Seering,et al.  Preshaping Command Inputs to Reduce System Vibration , 1990 .

[18]  Rajni V. Patel,et al.  Inversion-based sliding control of a flexible-link manipulator , 1998 .

[19]  Frank L. Lewis,et al.  Implementation of a neural network tracking controller for a single flexible link: comparison with PD and PID controllers , 1998, IEEE Trans. Ind. Electron..

[20]  Wayne J. Book,et al.  A linear dynamic model for flexible robotic manipulators , 1987 .

[21]  Warren P. Seering,et al.  Experimental Evaluation of Shaped Inputs to Reduce Vibration for a Cartesian Robot , 1990 .

[22]  M. Osman Tokhi,et al.  Dynamic characterisation of a flexible manipulator system , 2001, Robotica.