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

Bao-Lin Zhang, Yong-Mei Xu

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

Keywords


offshore platform, fuzzy control, active control, time delay, delayed feedback control.



DOI: http://dx.doi.org/10.21914/anziamj.v58i0.11106



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.