Input shaping for a simple nonlinear system

Proceedings of the American Control Conference - Tập 1 - Trang 821-826 vol.1
J.Y. Smith1, K. Kozak1, W.E. Singhose1
1Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

Tóm tắt

Input shaping is a command modification technique for reducing system vibration that has been implemented successfully on a number of mechanical systems. Input shaping was developed from linear systems theory, but it has been applied successfully to many nonlinear systems. Of the approaches used to shape commands for nonlinear systems, very few address the specific nonlinearities of the systems directly. This paper addresses a special subset of configuration-dependent nonlinearities. The effect of input shaping on these types of systems is analyzed and key motion command parameters are extracted. This analysis is utilized to design effective zero-vibration input shapers for the class of nonlinear systems considered here.

Từ khóa

#Nonlinear systems #Vibrations #Robustness #Frequency #Mechanical systems #Linear systems #Convolution #Damping #Feedback #Books

Tài liệu tham khảo

kozak, 2001, Analysis of varying natural frequencies and damping ratios of a sample parallel manipulator throughout its workspace using linearized equations of motion, ASME Design Engineering Technical Conference 10.1109/ACC.1995.529381 10.2514/2.4252 10.1115/1.1367334 rhim, 2000, Limitations and improvements of time-delay command shaping filters for flexible machine control, Mechanical Engineering bodson, 1996, Experimental comparison of two input shaping methods for the control of resonant systems, IFAC World Congress magee, 1992, The application of input shaping to a system with varying parameters, Japan/USA Symp Flexible Automation 10.1109/87.238404 khorrami, 1993, Adaptive nonlinear control and input preshaping for flexible-link manipulators, American Control Conf feddema, 1993, digital filter control of remotely operated flexible robotic structures, 1993 American Control Conference ACC, 2710, 10.23919/ACC.1993.4793388 crain, 1996, Evaluation of input shaping on configuration dependent systems, Japan-USA Symposium on Flexible Automation 10.1109/ACC.1995.529383 jansen, 1992, Control and analysis of a single-link flexible beam with experimental verification singhose, 1996, Input shaping for vibration reduction with specified insensitivity to modeling errors, Japan-USA Sym on Flexible Automation rappole, 1994, Multiple-mode impulse shaping sequences for reducing residual vibrations, 23rd Biennial Mechanisms Conference singer, 0 10.1016/0921-8890(92)90026-U kress, 1994, Experimental implementation of a robust damped-oscillation control algorithm on a full sized, two-DOF, AC induction motor-driven crane, 5th ISRAM 10.1115/1.2919428 10.1115/1.2894142