Robust non-fragile control for offshore steel jacket platform with nonlinear perturbations

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• 作者：K. Sivaranjani ; R. Rakkiyappan ; S. Lakshmanan ; C. P. Lim
• 关键词：Offshore steel jacket platform ; Non ; fragile control ; Lyapunov–Krasovskii functional ; Linear matrix inequality ; Randomly occurring uncertainty
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：81
• 期：4
• 页码：2043-2057
• 全文大小：679 KB
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• 作者单位：K. Sivaranjani (1)
  R. Rakkiyappan (1)
  S. Lakshmanan (2)
  C. P. Lim (2)
  
  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, Tamilnadu, India
  2. Center for Intelligent Systems Research, Geelong Waurn Ponds Campus, Deakin University, Victoria, Australia
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This study is concerned with the design of a non-fragile controller for an offshore steel jacket platform with nonlinear perturbations. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities based on suitable Lyapunov–Krasovskii functional, the second-order reciprocally convex approach and the lower bound lemma. The results indicate asymptotic stability of the offshore steel jacket platform utilizing the proposed non-fragile controller. Besides that, robust stability conditions are derived for an uncertain offshore platform subject to the non-fragile controller. A numerical example is given to illustrate the effectiveness of the proposed theoretical results.