Abstract
In this paper we study two mixed (finite-dimensional and infinite dimensional) systems - a flexible beam on a moving cart and a fluid tank mounted on a moving cart. The cart is connected to ordinary dampers, which dissipate the energy. The ultimate objective of this work is to ensure that all the energy of the infinite dimensional system (due to any disturbances) flows into the dampers and gets dissipated. We show that this is possible under certain conditions and that boundary damping alone is sufficient to bring the composite system to rest. We adopt the port-Hamiltonian approach (van der Schaft and Maschke (2002)) for our analysis, which allows us to look at the composite plant as a power conserving interconnection of infinite and finite dimensional systems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
