Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuator pairs

Abstract

Active vibration suppression of a simply supported, arbitrarily thick, transversely isotropic circular cylindrical host panel, integrated with spatially distributed piezoelectric actuator and sensor layers, is investigated based on the linear three dimensional exact piezo-elasticity theory. To assist control system design, system identification is conducted by applying a frequency domain subspace approximation method based on N4SID algorithm using the first few structural modes of the system. The state space model is constructed from system identification and used for state estimation and development of control algorithm. The optimal electrode configuration for the collocated piezoelectric actuator-sensor pair is found by applying a genetic optimization procedure based on maximization of a quantifiable objective function considering the controllability, observability and spillover prevention of the identified system. A linear quadratic Gaussian (LQG) optimal controller is subsequently designed and simulated based on the identified model of optimally configured smart structure in order to actively control the system response in both frequency and time domains. The dynamic performance and effectiveness of the optimized vibration control system is demonstrated for two different types of external mechanical excitations (i.e., impulsive load and white noise disturbance). The accuracy of dynamic analysis is established with the aid of a commercial finite element package and the data available in the literature.

Observer-based repetitive model predictive control in active vibration suppression

“…As a result, the optimization problem (17) becomes a standard quadratic programming (QP) that can be solved efficiently in small sampling intervals. The MPC formulation (11) comprises an optimization problem of dimension Nm to obtain the current control action. The parameterization procedure converts this optimization problem to that of (17) with the dimension of ∑ m i¼1 N i .…”

“…The appropriate control signals, which satisfies these performance objectives, may be realized by use of piezo-actuators in the context of smart structures. [11,12] These structural configurations are additionally employed to control the stress, strain, and sound. [13][14][15] Consequently, by utilizing suitable sensor elements, the undesired environmental disturbances can be rejected.…”

Semi-Analytical Modeling and Vibration Control of a Geometrically Nonlinear Plate

“…By taking the variation from the strain tensor, substituting Eqs. (4) and (5) into the time-domain integral equation, and then integrating by parts, the following is obtained:…”

“…These structures also known as smart structures are active with respect to the environmental excitation and therefore can a®ect the dynamic response of the passive system. 1,2 The active vibration control in comparison to passive methods is proven to be more e®ective especially in cases where additional masses should be avoided, the system is highly nonlinear, or under time varying mechanical disturbance, 3,4 Piezoelectric materials are typical candidates for active devices due to their capability to couple the strain and electric¯elds and due to the easiness of binding with the host structure. Therefore, a large number of researches have been devoted to the dynamic modeling of such structures.…”

Mu-Synthesis Based Active Robust Vibration Control of an Mri Inlet

“…Then, a short overview of the identification method which is used in this paper is presented in section 3. The interested reader can refer to [26][27][28][29]. The robust output feedback control synthesis for the reduced order model that includes the input weighting functions and uncertain elements is proposed in section 4.…”