Optimization of Piezoelectric Sensors Location and Number Using a Genetic Algorithm

Abstract

In this article, the optimal location and number of piezoelectric sensors is formulated for active vibration control. A modified criterion is used to ensure good observability of the system by considering the minimum number of needed piezoelectric elements. A genetic algorithm is proposed to solve this bi-objective optimization problem. Simulations are presented for a thin plate.

A Comprehensive Survey of Sensor Deployment Strategies to Diagnose Discrete-Part Manufacturing System

“…For the purpose of deviation diagnosis in a multistation assembly process, optimal sensor allocation methodologies are usually developed base on a state-space model [16,[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. As shown in Fig.…”

“…By employing the principles of GAs, many optimal sensor placement are developed in a complex system to optimize several competing evaluation criteria [26,33,58,[74][75][76][77][78][79]. Ren et al [31] developed a data-mining guided GA to solve the sensor distribution problem to achieve a maximal variance detection capability in a multi-station assembly process.…”

Robust vibration control of uncertain flexible structures based on model reduction

“…In balanced reduction, the states with the k largest Hankel singular values are retained while the others are truncated, thus the realization resulting from the retained states is equally controllable and observable. As the low-frequency modes always have larger amplitudes, [4][5][6] all reserved the first k modes and truncated the other high-frequency modes according to their natural frequencies.…”

“…To simplify the controller design, the dimension of the model has to be reduced properly. As the models of flexible structures are always expressed in modal coordinate, the model reduction process is the process of mode truncation, where only a limited number of eigenmodes are taken into consideration [3][4][5][6]. Tamara Nestorovic [3] proposed a method of model reduction using balanced reduced models.…”

Optimal Placement and Active Vibration Control of Composite Plates Integrated Piezoelectric Sensor/Actuator Pairs

“…Han and Lee [3] used genetic algorithms to find the efficient locations of piezoelectric sensors and actuators in composite plates. Bruant et al [4] also used d a genetic algorithm to optimize the number of sensors and location needed to ensure good observability. Using modified control matrix and singular value decomposition (MCSVD) approach, Deepak et al [5] studied the optimal placement of piezoelectric actuators on a thin plate.…”