Finite element simulation of smart structures using an optimal output feedback controller for vibration and noise control

Abstract

This numerical study presents a detailed optimal control design based on the general finite element approach for the integrated design of a structure and its control system. Linear quadratic (LQ) theory with output feedback is considered on the basis of the state space model of the system. Three-dimensional finite elements are used to model the smart structure containing discrete piezoelectric sensors and actuators by the use of combination of solid, transition and shell elements. Since several discrete piezoelectric patches are spatially distributed in the structure to effectively observe and control the vibration of a structure, the system model is thus utilized to design a multi-input-multi-output (MIMO) controller. A modal analysis is performed to transform the coupled finite element equations of motion into the state space model of the system in the modal coordinates. The output feedback controller is then employed to emulate the optimal controller by solving the Riccati equations from the modal space model. An optimal controller design for the vibration suppression of a clamped plate is presented for both the steady state and the transient case. Numerical simulation is also used to predict the reduction in the sound pressure level inside an enclosure radiated from this optimally controlled plate.

Uncertainty of Models in Intelligent Systems Under Stochastic Loading

“…To this end, break the loop at points p u , q u (which will be used as additional inputs/outputs respectively) and use the auxiliary signals α, β and γ. [18,19] To get the transfer function …”

Vibration Annihilation of Sandwiched Beam with MROF DTSMC

“…Active control through bonded piezo components was studied by Moita et al [18]. An optimal linear quadratic generator control strategy to control the structures is advised by Ulrich et al Young et al [20] presented a finite element simulation of flexible structures with output feedback controllers. Aldraihem et al [21] developed the model of the laminated beam based on EBT and TBT.…”

The dynamic behaviour of a piezoelectric actuator bonded to an anisotropic elastic medium

“…Typical examples also include the work by Mitchell and Reddy (1995), Banks and Smith (1995), Reddy (1997), Han and Lee (1998) and Reddy (1999). Finite element method is currently also being used for active vibration and noise control of piezoelectric structures (Tzou and Ye, 1994;Lim et al, 1999;for example).…”