Robust reliable sampled-data control for offshore steel jacket platforms with nonlinear perturbations

摘要: In this article, we consider the robust reliable sample-data control problem for an offshore steel jacket platform with input time-varying delay and possible occurrence of actuator faults subject to nonlinear self-exited hydrodynamic forces. The main objective work is design a state feedback controller such that all admissible uncertainties as well failure cases, resulting closed-loop system robustly exponentially stable. By constructing appropriate Lyapunov–Krasovskii functional using linear matrix inequality (LMI) approach, new set sufficient condition derived in terms LMIs existence law. particular, uncertainty under consideration parameters includes fractional norm-bounded uncertainty. Further, Schur complement Jenson’s integral are used substantially simplify derivation results. More precisely, gain can be achieved by solving LMIs, which easily facilitated some standard numerical packages. Finally, example simulation result provided illustrate applicability effectiveness proposed sampled-data scheme.