This paper presents a model reduction method and uncertainty modeling for the design of a low-order robust controller for suppression of smart panel vibration. A smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition, and shell finite elements, and then the size of the model is reduced in the state space domain. A robust controller is designed not only to minimize the panel vibration excited by applied uniform acoustic pressure, but also to be reliable in real world applications. This paper introduces the idea of Modal Hankel Singular values (MHSV) to reduce the finite element model to a low-order state space model with minimum model reduction error. MHSV measures balanced controllability and observability of each resonance mode to deselect insignificant resonance modes. State space modeling of realistic control conditions are formulated in terms of uncertainty variables. These uncertainty variables include uncertainty in actuators and sensors performances, uncertainty in the knowledge of resonance frequencies of the structure, damping ratio, static stiffness, unmodeled high resonance vibration modes, etc. The simplified model and the uncertainty model are combined as an integrated state space model, and then implemented in the control theory for controller parameterization. The low-order robust controller is easy to implement in an analog circuit to provide a low cost solution in a variety of applications where cost may be a limiting factor.
Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 2000; Revised October 2001. Associate Editor: H. S. Tzou.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Chang , W., Gopinathan , S. V., Varadan , V. V., and Varadan, V. K. (March 26, 2002). "Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model ." ASME. J. Vib. Acoust. April 2002; 124(2): 265–276. https://doi.org/10.1115/1.1448319
Download citation file:
- Ris (Zotero)
- Reference Manager