Experimental Active Vibration Control in Truss Structures Considering Uncertainties in System Parameters

Abstract

This paper deals with the study of algorithms for robust active vibration control in flexible structures considering uncertainties in system parameters. It became an area of enormous interest, mainly due to the countless demands of optimal performance in mechanical systems as aircraft, aerospace, and automotive structures. An important and difficult problem for designing active vibration control is to get a representative dynamic model. Generally, this model can be obtained using finite element method (FEM) or an identification method using experimental data. Actuators and sensors may affect the dynamics properties of the structure, for instance, electromechanical coupling of piezoelectric material must be considered in FEM formulation for flexible and lightly damping structure. The nonlinearities and uncertainties involved in these structures make it a difficult task, mainly for complex structures as spatial truss structures. On the other hand, by using an identification method, it is possible to obtain the dynamic model represented through a state space realization considering this coupling. This paper proposes an experimental methodology for vibration control in a 3D truss structure using PZT wafer stacks and a robust control algorithm solved by linear matrix inequalities.

Performance evaluation of piezoelectric sensor/actuator on active vibration control of a smart beam

“…In this robust controller design, the modelling uncertainty is included to prevent undesirable behaviours of the controller due to the modelling errors. Spillover is a problem when the controller excites the unmodelled modes [21,22]. The mathematical model of the smart beam constructed in section 3.1 for the first three out-ofplane bending modes of the smart beam is chosen as the nominal plant for the controller design.…”

LQG Control of the Smart Truss with the Piezoelectric Active Members

“…There are various control algorithms enabling the control of the smart trusses presented in the scientific articles. The results of the laboratory research of LQR control of the smart truss are shown in [3]. The truss was 0,03 [m] high and 0,06 [m] wide.…”