Robust sampled-data H∞ control for vibration mitigation of offshore platforms with missing measurements

Abstract

This paper presents a robust sampled-data H ∞ control for vibration attenuation of offshore platforms with missing measurements subject to external wave force. It is well known that the phenomena of missing measurements are unavoidable due to various reasons, such as sensor aging and sensor temporal failure, which may degrade the control system performance or even cause instability. For active vibration control of offshore platforms with sampling measurements, to deal with the missing measurements, a robust sampled-data H ∞ control method is proposed in this paper. The robust sampled-data H ∞ state feedback controller is obtained in terms of the solvability of certain linear matrix inequalities (LMIs). Finally, simulations on an offshore platform are exploited to demonstrate the effectiveness of the proposed method. The simulation results show that the designed robust sampled-data H ∞ control scheme is effective to attenuate the external wave force in the presence of missing measurements. © 2014 Mingjie Cai et al.