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Reduced-Order Robust Controller Design for Vibration Reduction
Technical Paper
2016-01-1845
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Active vibration reduction for lightweight structures has attracted more and more attention in automotive industries. In this paper, reduced-order controllers are designed based on H∞ techniques to realize vibration reduction. A finite element model of piezo-based smart structure is constructed from which a nominal model containing 5 modes and validation model containing 10 modes are extracted. A mixed-sensitivity robust H∞ controller is firstly designed based on the nominal structural model. Considering the ease of controller deployment, an order reduction for the controller is then exploited using balanced truncation method. The effectiveness of the reduced-order controller is finally verified on the validation model via system simulations.
Authors
- Xueji Zhang - Siemens Industry Software NV
- ZhongZhe Dong - Siemens Industry Software NV
- Martin Hromcik - Czech Technical University
- Kristian Hengster-Movric - Czech Technical University
- Cassio Faria - Siemens Industry Software NV
- Herman D. Van der Auweraer - Siemens Industry Software NV
- Wim Desmet - KU Leuven
Topic
Citation
Zhang, X., Dong, Z., Hromcik, M., Hengster-Movric, K. et al., "Reduced-Order Robust Controller Design for Vibration Reduction," SAE Technical Paper 2016-01-1845, 2016, https://doi.org/10.4271/2016-01-1845.Also In
References
- Elliott , S. J. A Review of Active Noise and Vibration Control in Road Vehicles ISVR Technical Memorandum No. 981 2008
- Pagerit , S. , Sharer , P. , and Rousseau , A. Fuel Economy Sensitivity to Vehicle Mass for Advanced Vehicle Powertrains SAE Technical Paper 2006-01-0665 2006 10.4271/2006-01-0665
- Heuss , R. , Muller , N. , van Sintern , W. , Starke , A. and Tschiesner , A. lightweight, heavy impact McKinsey & Company 2012
- Winberg , M. Noise and Vibration Control of Combustion Engine Vehicles Doctoral Dissertation Blekinge Institute of Technology 2005
- Fuller , C. R. and von Flotow , A. H. Active control of sound and vibration IEEE Control Systems Magazine 1995
- Preumont , A. Vibration control of active structures: an introduction Kluwer Academic Publishers 2002
- Choi , S. B. and Han , Y. Piezoelectric actuators: control applications of smart materials CRC Press 2010
- Mathias , W. Noise and vibration control of combustion engine vehicles 2005
- Gabbert U. and Ringwelski S. Active Vibration and Noise Control of a Car Engine: Modeling and Experimental Validation Mechanics and Model-Based Control of Advanced Engineering Systems 2014
- Carmona , J. C. and Alvarado , V. M. Active noise control of a duct using robust control theory IEEE Transaction on Control Systems Technology 8 930 938 2000
- Hu , Y.-R. and Ng , A. Active robust H 2 vibration control of flexible structures Journal of Sound and Vibration 28 43 56 2005
- Petersen , I. R. and Pota , H. R. Minimax LQG optimal control of a flexible beam 11 1273 1287 2003
- Montazeri , A. , Poshtan , J. and Yousefi-Koma , A. Design and Analysis of Robust Minimax LQG Controller for an Experimental Beam Considering Spill-Over Effect IEEE Transactions on Control Systems Technology 19 1251 1259 2011
- Liu , P. and Rao , V. S. Design of Reduced-Order Robust Controllers for Smart Structural Systems Journal of Guidance, Control, and Dynamics 27 1068 1074 2004
- Francis , A. B. A course in H ∞ control theory, No. 88 in Lecture notes in control and information sciences Springer 1987
- Zhu , M. and Leighton , G. Dimensional Reduction Study of Piezoelectric Ceramics Constitutive Equations 55 IEEE Transactions on Ultrasonics,Ferroelectrics and Frequency Control 2008
- H. Hariri , Y. B. and Razek , A. A two dientsions modeling of non-collocated piezoelectric patches bonded on thin structure 2 Curved and Lyaered. Structures 15 27 Emerging Science 2014
- Allemang , R. J. The Modal Assurance Criterion Twenty Years of Use and Abuse Sound And Vibration 2003
- Gawronski , W. K. Advanced structural dynamics and active control of structures Mechanical engineering series Springer 2004
- McKelvey , T. , Akay , H. and Ljung , L. Subspace-based multivariable system identification from frequency response data IEEE Transactions on Automatic Control 41 960 979 1996
- Cavallo , A. , De Maria , G. , Natale , C. and Pirozzi , S. Robust control of flexible structures with stable bandpass controllers Automatica 44 1251 1260 2008
- Besselink , B. , Tabak , U. , Lutowska , A. , van de Wouw , N. , Nijmeijer , H. , Rixen , D. , Hochstenbach , M. and Schilders , W. A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control Journal of Sound and Vibration 332 4403 4422 2013
- Skogestad , S. and Postlethwaite , I. MULTIVARIABLE FEEDBACK CONTROL Analysis and design JOHN WILEY & SONS 2nd 2001
- Gu , D. , Petkov , P. H. and Konstantinov , M. M. Robust control design with MATLAB Advanced textbooks in control and signal processing Springer 2005
- Balas , G. , Chiang , R. , Packard , A. and Safonov , M. Robust Control Toolbox: User’s Guide The Math-Works, Inc. Natick, MA 3rd 2006