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Proceedings Paper

Energy-to-peak induced norm upper bound control approach for collocated structural systems
Author(s): Mona Meisami-azad; Javad Mohammadpour; Karolos M. Grigoriadis
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Paper Abstract

The current paper presents an explicit expression for an upper bound on the induced energy-to-peak norm for structural systems with collocated sensors and actuators. Using a linear matrix inequality (LMI)-based representation of the L2 - L∞ norm of a collocated structural system, we determine an analytical upper bound on the L2 - L∞ norm of such a system. The paper also addresses the problem of static output feedback controller design for such systems. By employing simple algebraic tools, we derive an explicit parametrization of feedback controller gains which guarantee a prescribed level of L2 - L∞ performance for the closed-loop system. Finally, numerical examples are provided to validate the effciency and benefits of the proposed techniques. The effectiveness of the obtained bound and control design methodology is evident, in problems involving very large scale structural systems where solving Lyapunov equation or LMIs with large number of decision variables is time-consuming or intractable.

Paper Details

Date Published: 18 April 2007
PDF: 9 pages
Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230L (18 April 2007); doi: 10.1117/12.715868
Show Author Affiliations
Mona Meisami-azad, Univ. of Houston (United States)
Javad Mohammadpour, Univ. of Houston (United States)
Karolos M. Grigoriadis, Univ. of Houston (United States)

Published in SPIE Proceedings Vol. 6523:
Modeling, Signal Processing, and Control for Smart Structures 2007
Douglas K. Lindner, Editor(s)

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