Stochastic control of drill-heads driven by Lévy processes
2019; Elsevier BV; Volume: 103; Linguagem: Inglês
10.1016/j.automatica.2019.01.016
ISSN1873-2836
Autores Tópico(s)Vibration and Dynamic Analysis
ResumoThis paper considers the feedback tracking control problem of drill-heads with the bit–rock interaction modeled by drifts and jump–diffusions (Lévy 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 Lévy processes. This theorem and the backstepping method are applied to design robust and adaptive controllers that guarantee both global practical K∞-exponential p-stability and almost sure global practical K∞-exponential stability of the tracking errors for the drill-heads.
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