Semi-adaptive modal control of on-board electronic boards using an identification method

Abstract

Modal active control, based on a state model, is an efficient method of increasing the lifetime of electronic boards by using piezoelectric components. In the case of industrial mass production, dispersions lead to changes in mechanical and electromechanical properties. Moreover, initial operating conditions such as boundary conditions can change during the lifetime of the control and modify its efficiency and stability. Therefore, a semi-adaptive modal control strategy in deferred time is proposed to attenuate these problems. Firstly modal control gains are calculated by using a classical linear quadratic Gaussian algorithm with the nominal model including mode shapes. Then control I/O data are collected by an identification system that uses on-board piezoelectric components. A subspace method is implemented to estimate modal matrices in order to update the controller. The sensitivity of control performance to modal parameter variation is presented. Estimated control frequencies and modal damping are finally used to update modal control gains. The effectiveness of the proposed method is examined through numerical simulation and experimental tests in the case of boundary condition modifications. This adaptive modal control/identification design greatly increases the nominal robustness of the controller in the case of frequency shifts.

Cracks Detection Using Active Modal Damping and Piezoelectric Components

“…Π ai , Π ci and Π w are the i th actuator, i th sensor and disturbance vectors in the modal basis respectively (i = {1, 2}). In the case of piezoelectric actuators and sensors, the th electromechanical coupling vector composants corresponding to the i th actuator can be written [6] (…”

“…Chomette et al [6] shown that active modal control based on Linear Quadratic Algorithm is highly sensitive to the variation of boundary conditions and thus to structure modification. They demonstrated that differences between the cracked structure and the modal model used in the controller based on the uncracked structure lead to control performance decrease.…”

Damage Tolerant Active Control: Concept and State of Art

“…The goal of this controller is to simultaneously achieve high performance and structural durability. More recently, a damage tolerant LQG modal controller has been applied to a printed circuit board (PCB) by (Chomette et al, 2008(Chomette et al, , 2010. They proposed a complete methodology, from finite-element simulations to experimentation on a real PCB.…”

Mode tuning of a simplified string instrument using time-dimensionless state-derivative control

“…The main advantage of this strategy is to target the control energy on the modes of interest using a minimal number of components. For example, Chomette [1,2] uses modal active control to reduce damage in the case of on-board electronic boards subjected to a high vibration level. A recent example is given by Braghin [3] who proposes a new synthesis of modal controller to reduce vibrations in structures.…”