18 April 2007 Control and integrated design of smart material systems using analytical upper bound method
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Abstract
This paper presents an explicit expression for an upper bound on H2 norm for structural systems with collocated sensors and actuators. Using a linear matrix inequality (LMI)-based representation of the H2 norm of a collocated structural system, we determine an explicit upper bound on H2 norm of such a system. The present paper also addresses the problem of output H2 feedback controller design for collocated systems. Employing some simple algebraic tools, we derive an explicit parametrization of H2 feedback controller gain which guarantees a prescribed level of H2 performance for the closed-loop system. Numerical examples will be finally provided to validate the efficiency and benefits of the proposed method.
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Mona Meisami-Azad, Karolos M. Grigoriadis, Michael A. Demetriou, "Control and integrated design of smart material systems using analytical upper bound method", Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230M (18 April 2007); doi: 10.1117/12.718781; https://doi.org/10.1117/12.718781
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