Active Damping Using N4SID Model Referenced Predictive Anti-Phase Pitch Driving Method

Article Preview

Abstract:

Vibration suppression control considering elastic part deformation is one of the indispensable issues in the precision engineering field and a high-density LSI circuit processing[1]. This study aims at suppressing the induced vibration at rapid positioning operation using the N4SID (Subspace State Space model Identification) Model Referenced predictive Anti-phase pitch Driving Active Damping (N4SID-MRAD) and improve the positioning performance limit generated by conventional PID feedback control with existing actuator, which has low dynamic characteristics with a time lag. This control method consists of reduced order model identification (model order reduction using N4SID concept: offline process) and predictive control using the counter pitch driving based on the model output (: on-line process). This method was applied to principal axis vibration suppression of three axes positioning machine driven by a ball screw feeding mechanism to control the probe tip end positioning in feeding rod axis. The result showed that amplitude of residual vibration at the probe tip end suppressed with conventional PI controlled and the 77% performance improvement under low stable conditions that Balanced Realization could not be applied.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

436-441

Citation:

Online since:

October 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Yi Zhao, Francis E. H. Tay, Guangya Zhou, Fook Siong Chau, Fast and precise positioning of electrostatically actuated dual-axis micromirror by multi-loop digital control (2006).

DOI: 10.1016/j.sna.2006.02.027

Google Scholar

[2] Peter Van Overschee, Bart De Moor, Subspace Identification for Linear Systems (1996).

Google Scholar

[3] P.V. Overschee and B.D. Moor, N4SID: Subspace algorithms for the identification of combined deterministic stochastic system, Automatica, 30-1, p.75/93 (1994).

DOI: 10.1016/0005-1098(94)90230-5

Google Scholar

[4] S.Y. Kung, A new identification and model reduction algorithm via singular value decomposition, 12th Asilomar Conference on Circuits, Systems and Computers, 705/714 (1978).

Google Scholar

[5] R.L. Ho, R.E. Kalman, Effective construction of linear state-variable models from input/output functions, Regelungstechnik, 14-12, p.545/548 (1966).

DOI: 10.1524/auto.1966.14.112.545

Google Scholar

[6] Y. Okada, S. Adachi, Maciejowski J.M., A System Identification in the Presence of Nonlinear Sensors, SICE Vol. 41, No. 2 (2005).

Google Scholar

[7] Kyohei Ishihata, Lu Jianming, Takashi Yahagi, A Method for Vibration Control of Flexible Arms, JSME (C), Vol. 68, No. 674 (2002).

Google Scholar