Stochastic control of drill-heads driven by Lévy processes

• Autores: K.D. Do
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 103, 2019, págs. 36-45
• Idioma: inglés
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• Resumen

  • This 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.