Minimum time control of heterodirectional linear coupled hyperbolic PDEs

• Jean Auriol ^[1] ; Florent Di Meglio ^[1]
  1. [1] MINES ParisTech, PSL Research University;France
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 71, 2016, págs. 300-307
• Idioma: inglés
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• Resumen

  • We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled transport PDEs convecting in either direction. Using the backstepping approach, we derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. Unlike previous results, finite-time convergence to zero is achieved in the theoretical lower bound for control time