A theoretical and experimental study of advanced control methods to suppress vibrations in a small square plate subject to temperature variations

• Published in: Journal of sound and vibration Vol. 302; no. 3; pp. 409 - 424
• Main Authors: Shimon, P., Hurmuzlu, Y.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 08.05.2007; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Sliding mode; Variable structure system; Clamped plate; H infinite control; Experimental study; Adaptive control; Modeling; Natural frequency; Active system; Rectangular plate; Vibration control; Delay time; High frequency; Aircraft; Temperature fluctuation
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2005.01.054

In this paper, we seek to develop an efficient controller for vibration reduction in a small square plate clamped on all edges. The plate mimics a piece of an aircraft's skin. Small plate size results in higher natural frequencies than normally investigated in literature. Such high-frequency systems are more susceptible to time delays. In addition, the control system must be able to operate over a wide range of temperatures, a requirement for in-flight vibration suppression systems. We investigate two methodologies (sliding mode control, and an adaptive H ∞ control) for control over a wide range of temperatures. Theoretical and experimental studies are conducted and produced varying results. The best theoretical and experimental results are obtained with the adaptive H ∞ controller.