An efficient method for estimating the optimal dampers' viscosity for linear vibrating systems using Lyapunov equation

N Truhar, K Veselić - SIAM journal on matrix analysis and applications, 2009 - SIAM
This paper deals with an efficient algorithm for dampers' viscosity optimization in mechanical
systems. Our algorithm optimizes the trace of the solution of the corresponding Lyapunov …

Dimension reduction for damping optimization in linear vibrating systems

P Benner, Z Tomljanović… - ZAMM‐Journal of Applied …, 2011 - Wiley Online Library
We consider a mathematical model of a linear vibrational system described by the second‐
order differential equation M̈x+Ḋx+Kx=0, where M and K are positive definite matrices …

Optimal damping of selected eigenfrequencies using dimension reduction

P Benner, Z Tomljanović… - Numerical Linear Algebra …, 2013 - Wiley Online Library
We consider linear vibrational systems described by a system of second‐order differential
equations of the form, where M and K are positive definite matrices, representing mass and …

Finite time horizon mixed control of vibrational systems

I Nakić, MP Vidaković, Z Tomljanović - SIAM Journal on Scientific Computing, 2024 - SIAM
We consider a vibrational system control problem over a finite time horizon. The
performance measure of the system is taken to be a-mixed norm which generalizes the …

Mixed control of vibrational systems

I Nakić, Z Tomljanović, N Truhar - ZAMM‐Journal of Applied …, 2019 - Wiley Online Library
We consider new performance measures for vibrational systems based on the H2 norm of
linear time invariant systems. New measures will be used as an optimization criterion for the …

[PDF][PDF] An efficient approximation for optimal damping in mechanical systems

N Truhar, Z Tomljanovic, M Puvaca - Int. J. Numer. Anal. Model, 2017 - condys.unidu.hr
An Efficient Approximation of Optimal Damping in Mechanical Systems Page 1 An Efficient
Approximation of Optimal Damping in Mechanical Systems Coauthors: Ivica Nakic and Maja …

[HTML][HTML] Simultaneous control and piezoelectric insert optimization for manipulators with flexible link

V Bottega, R Pergher, JSO Fonseca - Journal of the Brazilian Society …, 2009 - SciELO Brasil
This work proposes a tracking control model for a flexible link robotic manipulator using
simultaneously motor torques and piezoelectric actuators. The dynamic model of …

[HTML][HTML] Optimization of the solution of the parameter-dependent Sylvester equation and applications

I Kuzmanović, N Truhar - Journal of computational and applied …, 2013 - Elsevier
This paper deals with an efficient algorithm for optimization of the solution of the parameter-
dependent Sylvester equation where A0, B0 are m× m and n× n matrices, respectively …

Optimal direct velocity feedback

I Nakić, Z Tomljanović, N Truhar - Applied mathematics and computation, 2013 - Elsevier
We present a novel approach to the problem of Direct Velocity Feedback (DVF) optimization
of vibrational structures, which treats simultaneously small as well as large gains. For that …

Damping optimization for linear vibrating systems using dimension reduction

P Benner, Z Tomljanović, N Truhar - Vibration Problems ICOVP 2011: The …, 2011 - Springer
We consider a mathematical model of a linear vibrational system described by the second-
order system of differential equations M ̈ x+ D ̇ x+ Kx= 0, where M, K and D are positive …