Adaptive Control of Flexible Structures with Uncertain Dynamics and Uncertain Disturbance Spectra

Abstract

In the present paper we revisit the active structural and acoustic vibration problem in terms of adaptive control. For active structural and acoustic vibration problem we consider retrospective cost adaptive control (RCAC). RCAC is a direct adaptive control technique, that requires minimal modeling, specifically, a limited number of Markov parameters from the control input to the performance variable. No modeling information is needed concerning the disturbance and command spectra, disturbance path, and measurement feedback path. This study is aimed at assessing in detail the level of modeling accuracy required by RCAC for disturbance rejection in lightly damped structures, with uncertain modal frequencies, damping, and mode shapes, unmodeled dynamics, uncertain disturbance spectra, sensor noise, sensor/actuator dynamics, and without the benefit of disturbance measurements, sensor/actuator passivity due to colocation and velocity sensing, in both SISO and MIMO applications.