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首页> 外文期刊>Applied Mathematical Modelling >Hybrid optimization procedure applied to optimal location finding for piezoelectric actuators and sensors for active vibration control
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Hybrid optimization procedure applied to optimal location finding for piezoelectric actuators and sensors for active vibration control

机译：混合优化程序应用于压电致动器和传感器的最佳位置寻找，以进行主动振动控制

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摘要

This paper presents an efficient hybrid optimization approach using a new coupling technique for solving the constrained optimization problems. This methodology is based on genetic algorithm, sequential quadratic programming and particle swarm optimization combined with a projected gradient techniques in order to correct the solutions out of domain and send them to the domain’s border. The established procedures have been successfully tested with some well known mathematical and engineering optimization problems, also the obtained results are compared with the existing approaches. It is clearly demonstrated that the solutions obtained by the proposed approach are superior to those of existing best solutions reported in the literature. The main application of this procedure is the location optimization of piezoelectric sensors and actuators for active control, the vibration of plates with some piezoelectric patches is considered. Optimization criteria ensuring good observability and controllability based on some main eigenmodes and residual ones are considered. Various rectangular piezoelectric actuators and sensors are used and two optimization variables are considered for each piezoelectric device: the location of its center and shape orientation. The applicability and effectiveness of the present methodological approach are demonstrated and the location optimization of multiple sensors and actuators are successfully obtained with some main modes and residual ones. The shape orientation optimization of sensors observing various modes as well as the local optimization of multiple sensors and actuators are numerically investigated. The effect of residual modes and the spillover reduction can be easily analyzed for a large number of modes and multiple actuators and sensors.
机译：本文提出了一种有效的混合优化方法，它使用一种新的耦合技术来解决约束优化问题。该方法基于遗传算法，顺序二次规划和粒子群优化，并结合了投影梯度技术，以更正域外的解决方案并将其发送到域的边界。已建立的程序已经成功地测试了一些众所周知的数学和工程优化问题，并将获得的结果与现有方法进行了比较。清楚地表明，通过所提出的方法获得的解决方案优于文献中报道的现有最佳解决方案。该程序的主要应用是对主动控制的压电传感器和执行器进行位置优化，并考虑带有一些压电片的板的振动。考虑了基于一些主要特征模式和剩余特征模式的确保良好可观察性和可控制性的优化标准。使用了各种矩形压电致动器和传感器，并且为每个压电设备考虑了两个优化变量：其中心位置和形状方向。证明了本方法的适用性和有效性，并通过一些主要模式和残差模式成功地获得了多个传感器和执行器的位置优化。数值研究了观察各种模式的传感器的形状方向优化以及多个传感器和执行器的局部优化。对于大量模式以及多个执行器和传感器，可以轻松分析残留模式和溢出减少的影响。

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