Delayed fuzzy \(H_\infty\) control of offshore steel jacket platforms

Abstract

We study a delayed fuzzy \(H_\infty\) control problem for an offshore platform under external wave forces. First, by considering perturbations of the masses of the platform and an active mass damper, a Takagi–Sugeno fuzzy model is established. Then, by introducing time delays into the control channel, a delayed fuzzy state feedback \(H_\infty\) controller is designed. Simulation results show that the delayed fuzzy state feedback \(H_\infty\) controller can reduce vibration amplitudes of the offshore platform and can save control cost significantly. doi:10.1017/S1446181117000128