A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial H2 measures

2006 ◽  
Vol 20 (4) ◽  
pp. 881-895 ◽  
Author(s):  
Wei Liu ◽  
Zhikun Hou ◽  
Michael A. Demetriou
2021 ◽  
pp. 107754632110358
Author(s):  
Runze Ding ◽  
Ding Chenyang ◽  
Xu Yunlang ◽  
Xiaofeng Yang

Disturbances acting on flexible structures at spatially varying locations instead of fixed points may lead to deteriorated vibration control performance. To tackle this problem, this article presents an optimal sensor/actuator placement method, in which the closed-loop spatial [Formula: see text] norm is employed as the optimization criterion. In addition, a new way to calculate the spatial [Formula: see text] norm is proposed, which is independent of the modal orthogonality assumption in previous research. An optimization framework is established to optimize sensor/actuator placement by minimizing the closed-loop spatial [Formula: see text] norm using the genetic algorithm. Comprehensive numerical simulations are implemented on a fixed-fixed plate to validate the proposed method. Results show that magnitude of vibrations is reduced and decays faster after the optimization, which indicates that the proposed method markedly improves control performance when spatially varying disturbances exist.


2020 ◽  
Vol 20 (08) ◽  
pp. 2050095
Author(s):  
Yifan Lu ◽  
Qi Shao ◽  
Fei Yang ◽  
Honghao Yue ◽  
Rongqiang Liu

Different kinds of membrane structures have been proposed for future space exploration and earth observation. However, due to the low stiffness, high flexibility, and low damping properties, membrane structures are likely to generate large-amplitude (compared to the thickness) vibrations, which may lead to the degradation of their working performance. In this work, the governing equations are established at first, taking into account the modal control force induced by the polyvinylidene fluoride (PVDF) actuator. The optimal vibration control of the membrane structure is explored subsequently. A square PVDF actuator is attached on the membrane to achieve the vibration suppression. The influence of actuator position and control gains on the vibration control performance are studied. The optimal criteria for actuator placement and energy allocation are developed. Several case studies are numerically simulated to demonstrate the validity of the proposed optimization criteria. The analytical results in this study can serve as guidelines for optimal vibration control of membrane structures. Additionally, the proposed optimization criteria can be applied to active control of different flexible structures.


Author(s):  
Jingjun Zhang ◽  
Ji Zheng ◽  
Ruizhen Gao

In order to reduce the vibration of flexible structures, this paper developed an effective procedure to determine the location of multi-piezoelectric elements in active flexible structures. The D-optimal design principle is an optimization method which chosen by the maximum determinant of Fisher Information Matrix Criteria. Study on the mode shapes and dynamic characteristics of structure, and the mode shapes of selected structural are converted into unitary mode. In order to approach higher level of vibration control, piezoelectric patches are placed on the maximum mode strain locations of the structure. The mode shapes of flexible structure are extracted and analysed using the Ansys software, and an interface is completed between the GAs and Ansys software.


Author(s):  
Morteza Shahravi ◽  
Milad Azimi

This paper presents a study concerning the vibration control of smart flexible sub-structures of satellite during attitude maneuver. A comparison between the collocated and non-collocated piezoceramic patches acting as sensors and actuators is performed in order to investigate their effectiveness to suppress vibrations in flexible substructures. A rigid hub with two elastic appendages containing surface bounded piezoelectric patches is being considered as satellite model. Finite element method and Lagrangian formulation are used for derivation of system equations of motion. Stability proof of the overall closed-loop system is given via Lyapunov analysis. The numerical simulations verify the results of the study.


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