Gugat M (2008)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2008
Publisher: Wiley-VCH Verlag
Book Volume: 88
Pages Range: 283-305
Journal Issue: 4
URI: http://www3.interscience.wiley.com/cgi-bin/abstract/117946700/ABSTRACT
In many control application, switching between different control devices occurs. Here the problem to control a finite string to the zero state in finite time by controlling the state at the two boundary points is considered, where at each moment in time one of the boundary controls must be switched off, that is its control value must be equal to zero. The corresponding optimal control problem where the objective function is the L2 norm of the controls is solved explicitly in the sense that controls that are successful and minimize at the same time the objective function are determined as functions of the initial state. Due to the complementarity condition that appears in the optimal control problem, it is non-convex and the optimal control is in general not uniquely determined. To allow for technical constraints it is important to avoid an accumulation of switching points at so-called Zeno-points. We give examples that illustrate how switching regimes of practical value can be obtained. © 2008 WILEY-VCH Verlag GmbH & Co. KGaA.
APA:
Gugat, M. (2008). Optimal switching boundary control of a string to rest in finite time. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 88(4), 283-305. https://dx.doi.org/10.1002/zamm.200700154
MLA:
Gugat, Martin. "Optimal switching boundary control of a string to rest in finite time." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 88.4 (2008): 283-305.
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