Design of an optimal state derivative feedback LQR controller and its application to an offshore steel jacket platform

Hakan Yazici; Mert Sever

doi:10.11121/ijocta.01.2018.00468

Authors

Hakan Yazici Yildiz Technical University http://orcid.org/0000-0001-6859-9548
Mert Sever Department of Mechatronics Engineering Yildiz Technical University http://orcid.org/0000-0002-8372-0593

DOI:

https://doi.org/10.11121/ijocta.01.2018.00468

Keywords:

Optimal control, state derrivative feedback, convex optimization, offshore steel jacket platform

Abstract

This paper concerns with the optimal state derivative feedback LQR controller design for vibration control of an offshore steel jacket platform having active tuned mass damper against the wave induced disturbances. Considering that the state derivative signals such as acceleration and velocity are easier to measure rather than the state variables such as displacement, state derivative feedback control strategy is proposed to obtain practically applicable and easily realizable synthesis method. On the basis of convex optimization approach, state derivative feedback LQR controller design is formulated in Linear Matrix Inequalities (LMIs) form to get an optimal feasible solution set. Finally, an offshore steel jacket platform subject to nonlinear self excited wave force is used to illustrate the effectiveness of the proposed approach through simulations. The results show that proposed state derivative LQR controller is very effective in reducing vibration amplitudes of each floor of modeled offshore steel jacket platform and achieves compitable control performance to classical LQR controller design.

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Author Biographies

Hakan Yazici, Yildiz Technical University

Hakan Yazici received his M.Sc and Ph.D. from Yildiz Technical University, all in Mechanical Engineering, in 2006 and 2011, respectively. He conducted post-doctoral research at Southern Illinois University Edwardsville, USA, from 2011 to 2012. His current research interest includes robust and optimal control of time-delay systems with actuator saturation, stability of functional differential equations with time delays, and active vibration control and its applications.

Mert Sever, Department of Mechatronics Engineering Yildiz Technical University

Mert Sever was born in Istanbul, Turkiye, in 1990. He received his B.Sc from Yildiz Technical University, in Mechanical Engineering, in 2014 and is a Msc. Candidate in Machine Theory and Control Program, in the same university, respectively. He is currently a Research Assistant at Yildiz Technical University, Department of Mechatronics Engineering. His current research interest includes LMI based robust and optimal control, active vibration control and its applications

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