Finite-frequency H∞ control for offshore platforms subject to parametric model uncertainty and practical hard constraints

Ali Kazemy; James Lam; Xianwei Li

doi:10.1016/j.isatra.2018.08.007

Finite-frequency H_∞ control for offshore platforms subject to parametric model uncertainty and practical hard constraints

ISA Trans. 2018 Dec:83:53-65. doi: 10.1016/j.isatra.2018.08.007. Epub 2018 Aug 13.

Authors

Ali Kazemy¹, James Lam², Xianwei Li³

Affiliations

¹ Department of Electrical Engineering, Tafresh University, Tafresh 39518-79611, Iran. Electronic address: kazemy@tafreshu.ac.ir.
² Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong. Electronic address: james.lam@hku.hk.
³ School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore. Electronic address: lixianwei1985@gmail.com.

PMID: 30166210
DOI: 10.1016/j.isatra.2018.08.007

Abstract

In this paper, the problem of finite-frequency H_∞ controller design for offshore platforms has been addressed. In order to comply with practical requirements, model uncertainties and physical hard constraints such as actuator saturation, maximum allowable displacement of the platform, and maximum deflection of active mass damper (AMD) and the platform deck have been considered and incorporated into the controller design. Then, based on the generalized Kalman-Yakubovic-Popov (KYP) lemma, sufficient conditions have been established in the form of linear matrix inequalities (LMIs) to ensure the existence of the finite-frequency H_∞ controller. Finally, a simplified platform model is utilized to illustrate the effectiveness of the proposed method.

Keywords: performance; Finite-frequency; Generalized KYP lemma; Offshore platforms.