Active vibration on offshore steel jacket platforms including delayed probabilistic actuator failures and resilient reliable sampled‐data control

Abstract

Abstract This paper examines the unified dissipative performance of Offshore Steel Jacket Platforms (OSJPs) which include actuator failures and probabilistic delays, through a resilient and reliable sampled‐data controller. In detail, random variables fetching the Bernoulli distribution are treated in particular for the stochastic time‐delays. By implementing the Lyapunov–Krasovskii functions(LKF) together with the Second Order Bessel–Legendre Inequality Technique (SOBLIT) and an improved Reciprocally Convex Inequality (RCI) approach, which provides impressive information about sampling to guarantee that the OSJP is unified dissipative. The proposed criterion is exhibited in the sort of linear matrix inequalities (LMIs) and highlights of this study is to examine the multi‐dynamic interpretation of OSJP with extended dissipativity indices. The advantage of the established methodology is explored for OSJPs with the existing results, which is carried out along with the proposed control law, using their values of the experimental parameters.

Keywords

• Algebra
• Other topics in statistics
• Control system analysis and synthesis methods
• Stability in control theory
• Optimal control
• Discrete control systems