Smart structure control in matrix second-order form

Abstract

Matrix second-order systems arise in a variety of structural dynamics and control problems. The analysis and design of such systems is traditionally done in the frequency domain or in the time domain (state space framework). The formulation of the control design problem in matrix second-order form (i.e. configuration space framework) has many advantages over first-order state-space form. In this paper, a novel approach for designing a stabilizing controller in a second-order model of a piezoelectrically controlled flexible beam is proposed.