Title :
Efficient Newton method for optimal viscous dampers design
Author :
Halperin, I. ; Agranovich, G. ; Ribakov, Y.
Author_Institution :
Dept. of Civil Eng., Ariel Univ., Ariel, Israel
Abstract :
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.
Keywords :
Hessian matrices; Newton method; control system synthesis; convergence; damping; optimal control; optimisation; performance index; reliability; shock absorbers; vibration control; Hessian matrix; Newton method; Newton optimization method; calculation method; civil structure; convergence rate; enhanced optimal viscous passive dampers design method; mechanical system; numerical test; optimal design; optimal viscous dampers design; passive controller; passive damping device; performance index; quadratic gains norm; reliability; vibrations damping; ||H||2 system norm; Algorithm design and analysis; Convergence; Damping; Mathematical model; Optimization; Performance analysis; Shock absorbers; collocated control; optimal static output feedback; structural control; viscous dampers;
Conference_Titel :
Electrical & Electronics Engineers in Israel (IEEEI), 2014 IEEE 28th Convention of
Conference_Location :
Eilat
Print_ISBN :
978-1-4799-5987-7
DOI :
10.1109/EEEI.2014.7005860
