Minimum time control of heterodirectional linear coupled hyperbolic PDEs

Authors: J. Auriol, F. Di Meglio, Automatica, Vol 71, pp. 300-307, 10 June 2016, DOI: 10.1016/j.automatica.2016.05.030
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.
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BibTeX
@Article{2017-02-27,
author = {F. Di Meglio J. Auriol},
title = {Minimum time control of heterodirectional linear coupled hyperbolic PDEs},
journal = {Automatica},
volume = {71},
number = {},
pages = {300-307},
year = {2016},
}