Abstract
This paper investigates the of the deepwater drilling with nonlinear tension force and energy-bounded friction force under the circumstances of limited network resources and unreliable communication. Different from the existing linearization modeling method, a triangle-based polytope modeling method is applied to the nonlinear . Based on the polytope model, to improve resource utilization and accommodate random and communication delay, an strategy under a hybrid is proposed. An asynchronous linear parameter-varying system that blends input delay and impulsive update equation is presented to model the nonlinear networked system, where the asynchronous deviation bounds of scheduling parameters are calculated. Resorting to the Lyapunov–Krasovskii functional method, some solvable conditions of disturbance attenuation analysis and design are derived such that the resulting networked system is exponentially mean-square stable with prescribed performance. The obtained numerical results verified that the proposed nonlinear networked control method can achieve a better recoil response of the with less transmission data compared with the linear control method.
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