TY - GEN
T1 - Efficient Newton method for optimal viscous dampers design
AU - Halperin, I.
AU - Agranovich, G.
AU - Ribakov, Y.
N1 - Publisher Copyright:
© Copyright 2015 IEEE All rights reserved.
PY - 2014
Y1 - 2014
N2 - Passive control is a known method for vibrations damping in many mechanical systems, including civil structures. The simplicity and reliability of passive damping devices makes them a worthy candidate in many practical problems. However, despite of its practical simplicity, the optimal design of passive controller is quite hard computational problem. In this work, an enhanced optimal viscous passive dampers design method is proposed. The optimization is done with relation to performance index consists of ||H||2 system norm and quadratic gains norm. An algorithm is suggested for the look after a candidate optimum. It is based on Newton's optimization method with a new and effective calculation method for the Hessian matrix. Numerical tests of the suggested method shows a very fast convergence rate with relation to known ones.
AB - Passive control is a known method for vibrations damping in many mechanical systems, including civil structures. The simplicity and reliability of passive damping devices makes them a worthy candidate in many practical problems. However, despite of its practical simplicity, the optimal design of passive controller is quite hard computational problem. In this work, an enhanced optimal viscous passive dampers design method is proposed. The optimization is done with relation to performance index consists of ||H||2 system norm and quadratic gains norm. An algorithm is suggested for the look after a candidate optimum. It is based on Newton's optimization method with a new and effective calculation method for the Hessian matrix. Numerical tests of the suggested method shows a very fast convergence rate with relation to known ones.
KW - Collocated control
KW - Optimal static output feedback
KW - Structural control
KW - Viscous dampers
UR - http://www.scopus.com/inward/record.url?scp=84941243680&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2014.7005860
DO - 10.1109/EEEI.2014.7005860
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AN - SCOPUS:84941243680
T3 - 2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
BT - 2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
Y2 - 3 December 2014 through 5 December 2014
ER -