三维水平井轨道设计的最优脉冲控制系统

Nonliner Impulsive Control System for Designing 3D Traiectory of Horizontal Wells

本篇文章中阐述了一个非线性三维水平井轨道设计脉冲控制系统。其中,代价函数是用来减小轨道总长度与进入目标点的误差.约束条件为非线性脉冲系统。本文讨论了非线性脉冲系统与最佳控制系统的解的存在性,并将非线性脉冲最佳控制系统应用在使用设计的水平井当中。最后得出的数值结果阐释了所推荐系统的准确性与有效性。

In this paper, a nonlinear impulsive optimal control system is developed for designing 3D trajectory of horizontal wells. Here the cost function is minimizing the total length of the trajectory and the error of entry target point, the constraint conditions are nonlinear impulsive system. The existence of the solutions of the optimal control system are discussed. The nonlinear impulsive optimal control system is applied to practical design of the horizontal wells. Numrrieal results illustrate the accuracy and efficiency of the proposed system.