Stochastic control of drill-heads driven by Levy processes

被引：17

作者：

Do, K. D. ^{[1
]}

机构：

[1] Curtin Univ, Dept Mech Engn, Kent St, Bentley, WA 6102, Australia

来源：

AUTOMATICA | 2019年 / 103卷

关键词：

Drill-heads; Lyapunov-type theorem; Well-posedness; Stability; Stochastic differential equations; Levy processes; DIFFERENTIAL-EQUATIONS; NONLINEAR-SYSTEMS; STABILITY ANALYSIS; BOUNDARY CONTROL; STABILIZATION; FEEDBACK; NOISE;

D O I：

10.1016/j.automatica.2019.01.016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the feedback tracking control problem of drill-heads with the bit-rock interaction modeled by drifts and jump-diffusions (Levy processes). A Lyapunov-type theorem is developed to study well-posedness, stability in moment, and almost sure stability of nonlinear stochastic differential equations driven by Levy processes. This theorem and the backstepping method are applied to design robust and adaptive controllers that guarantee both global practical K-infinity-exponential p-stability and almost sure global practical K-infinity-exponential stability of the tracking errors for the drill-heads. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：36 / 45

页数：10

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