Mixed control of vibrational systems. Issue 9 (17th June 2019)

• Record Type: Journal Article
• Authors: Nakić, Ivica; Tomljanović, Zoran; Truhar, Ninoslav
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 99:Issue 9(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-06-17
• Subjects: damping optimization -- optimal control -- second‐order systems -- vibrational system -- 70Q05 -- 49J15 -- 74P10; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201800328
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: We consider new performance measures for vibrational systems based on the H 2 norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both theoretical and concrete cases in order to show how new measures stack up against the standard measures. The quality and advantages of new measures as well as the behaviour of optimal damping positions and corresponding damping viscosities are illustrated in numerical experiments. Abstract : We consider new performance measures for vibrational systems based on the H 2 norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both theoretical and concrete cases in order to show how new measures stack up against the standard measures. The quality and advantages of new measures as well as the behaviour of optimal damping positions and corresponding damping viscosities are illustrated in numerical experiments.