Systematic Formulation of Model Uncertainties and Robust Control in Smart Structures Using H ∞ and μ-Analysis

Abstract

The influence of structural uncertainties on actively controlled smart beams is investigated in this paper. The dynamical problem of a model smart composite beam is based on a simplified modelling of the actuators and sensors, both being realized by means of piezoelectric layers. In particular, a practical robust controller design methodology is developed, which is based on recent theoretical results on H ∞ control theory and μ-analysis. Numerical examples demonstrate the vibration-suppression property of the proposed smart beams.