Optimized design of robust resonator with distributed time-delay

作     者：Pilbauer, Dan Vyhlidal, Tomas Michiels, Wim 

作者机构：Czech Tech Univ Dept Instrumentat & Control Engn Fac Mech Engn Tech 4 Prague 16607 6 Czech Republic Czech Tech Univ CIIRC Tech 4 Prague 16607 6 Czech Republic Katholieke Univ Leuven Dept Comp Sci Celestijnenlaan 200A B-3001 Heverlee Belgium 

出 版 物：《JOURNAL OF SOUND AND VIBRATION》 (声音与振动杂志)

年 卷 期：2019年第443卷

页      面：576-590页

核心收录：

学科分类：07[理学] 082403[工学-水声工程] 08[工学] 070206[理学-声学] 0802[工学-机械工程] 0824[工学-船舶与海洋工程] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：Czech Science Foundation [17-20943S] KU Leuven Research Council [C14/17/072] Research Foundation-Flanders (FWO - Vlaanderen) [G0A5317N] project UCoCoS - European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant 

主　　题：Distributed time-delay Active vibration control Robust control Acceleration feedback Spectral method Delayed resonator 

摘      要：An extension of the well-known delayed resonator concept is proposed with the objective to enhance its robustness in vibration suppression under guaranteeing stability of the overall set up. The novel resonator feedback is based on an acceleration measurements passing through a delay of polynomial distribution. The feedback design is formulated as an optimization problem over the parameter set formed by the polynomial coefficients and the gain of the delay free part. The first objective is to minimize the sensitivity of the resonator performance with respect to variations of the excitation frequency, i.e. to widen its frequency stopband centered at the nominal excitation frequency. The second, equally significant objective is to guarantee that this does not lead to instability of the overall mechanical system coupled with the absorber and to ensure sufficient stability margin. The arising non-convex and nonsmooth optimization problem is widely discussed and a penalty method is developed, where the unconstrained problem in every iteration step is solved using available software tools for optimization and spectral design of time delay systems. The proposed design technique is validated by simulations for two case study examples. (C) 2018 Elsevier Ltd. All rights reserved.