Control and integrated design of smart material systems using analytical upper bound method

Mona Meisami-Azad; Karolos M. Grigoriadis; Michael A. Demetriou

doi:10.1117/12.718781

18 April 2007 Control and integrated design of smart material systems using analytical upper bound method

Mona Meisami-Azad, Karolos M. Grigoriadis, Michael A. Demetriou

Proceedings Volume 6523, Modeling, Signal Processing, and Control for Smart Structures 2007; 65230M (2007) https://doi.org/10.1117/12.718781
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

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.

Citation Download Citation

Mona Meisami-Azad, Karolos M. Grigoriadis, and 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); https://doi.org/10.1117/12.718781

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