Internal Model Control of Lightly Damped Systems Subject to Periodic Exogenous Signals

• Published in: IEEE transactions on control systems technology Vol. 18; no. 3; pp. 699 - 704
• Main Author: LU, Yu-Sheng
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Band pass filters; Bandpass filters; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Disk drives; Electronics; Exact sciences and technology; Finite impulse response filter; Fundamental areas of phenomenology (including applications); internal model control; Lighting control; lightly damped systems; Miscellaneous; Modelling and identification; Optical control; Optical discs; optical disk drives; Optical feedback; Optical filters; periodic exogenous signals; Physics; Signal design; Solid mechanics; Storage and reproduction of information; Structural and continuum mechanics; Transfer functions; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Optical disk; lightly damped systems; Bandpass filters; Internal model control; Periodic signal; Optical system; periodic exogenous signals; control systems; optical disk drives; Band pass filter; Vibration control; Resonance; System identification; Transfer function; Periodic system
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2009.2023672

This paper presents an internal model control (IMC) design for lightly-damped systems subject to periodic exogenous signals. For such systems, the conventional design of the so-called IMC filter in the IMC structure can result in oscillatory behavior even when the closed-loop transfer function is designed to be well damped. To circumvent this problem, several band-pass filters are incorporated into the IMC filter based on knowledge of the frequencies of the plant's resonance modes and exogenous signals. The track-following system of an optical disk drive is employed to illustrate the design of the proposed IMC filter. Experimental results confirm the effectiveness of the proposed design.