Abstract
The chapter ’Variational principles in mechanics and control’ summarizes the material presented in six lectures in the CISM course no. 418. The first part considers the derivation of equations of motion for discrete and continuous systems. Founding on the basics of the calculus of variations the relation of the principle of virtual work to Lagrange’s equations and Hamilton’s principle is discussed. The concepts are useful for an efficient modeling of control systems. In the second part variational methods are used to introduce basics of optimal control and control system design.
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© 2014 CISM, Udine
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Spelsberg-Korspeter, G. (2014). Variational Principles in Mechanics and Control. In: Hagedorn, P., Spelsberg-Korspeter, G. (eds) Active and Passive Vibration Control of Structures. CISM International Centre for Mechanical Sciences, vol 558. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1821-4_2
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DOI: https://doi.org/10.1007/978-3-7091-1821-4_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-1820-7
Online ISBN: 978-3-7091-1821-4
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