System Identification and Control Design for a Curved Platelike Active Structure

Active vibration suppression of a curved plate incorporating two piezoelectric actuators is examined. This structure was chosen as one for which it was assumed that no analytical model could be developed accurately for control design purposes; rather, the aim is to identify a multi-input/multi-output (MIMO) model using Hankel singular value decomposition (HSVD). The measurement model is fitted simultaneously across all of the transfer functions in a MIMO system; therefore, a set of poles common to all of the transfer functions is selected. Different control strategies such as single-input/single-output velocity feedback and MIMO linear quadratic Gaussian (LQG) and H∞ were designed, implemented, and tested using the model identified. The system was successful in reducing the vibration of the flexible modes of the structure. The major performance limitations were the authority of the piezoelectric actuators and the choice of actuator/sensor complement.

[1]  Walter D. Pilkey,et al.  Suboptimal feedback vibration control of a beam with a proof-mass actuator , 1989 .

[2]  Yaakov Oshman,et al.  Modal control of piezolaminated anisotropic rectangular plates. I - Modal transducer theory , 1996 .

[3]  R. J. Wynne,et al.  The design and implementation of robust strategies for active vibration control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[4]  Maciejowsk.  Multivariable Feedback Design , 1989 .

[5]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[6]  Baruch Pletner,et al.  Consistent Methodology for the Modeling of Piezolaminated Shells , 1997 .

[7]  R. S. Ryan,et al.  Dynamics and control of large space structures , 1984 .

[8]  Sun-Yuan Kung,et al.  A new identification and model reduction algorithm via singular value decomposition , 1978 .

[9]  Dimitris A. Saravanos,et al.  Mixed Laminate Theory and Finite Element for Smart Piezoelectric Composite Shell Structures , 1997 .

[10]  Kenneth B. Lazarus,et al.  Fundamental mechanisms of aeroelastic control with control surface and strain actuation , 1991 .

[11]  Yaakov Oshman,et al.  Modal control of piezolaminated anisotropic rectangular plates - II Control theory , 1996 .

[12]  Kenneth B. Lazarus,et al.  Induced strain actuation of isotropic and anisotropic plates , 1991 .

[13]  J. Maciejowski,et al.  System identification using balanced parametrizations , 1997, IEEE Trans. Autom. Control..

[14]  Ben K. Wada,et al.  Passive damping for space truss structures , 1988 .

[15]  C. Fuller,et al.  Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates , 1991 .