Journal article

Output feedback boundary control of heterodirectional semilinear hyperbolic systems

T Strecker, OM Aamo, M Cantoni

Automatica | Elsevier | Published : 2020


We solve the problem of stabilizing a general class of 1-d semilinear hyperbolic systems with an arbitrary number of states convecting in each direction and with the actuation and sensing restricted to one boundary. The control design is based on the dynamics on the characteristic lines along which the inputs propagate through the domain and the predictability of states in the interior of the domain up to the time they are affected by the inputs. In the context of broad solutions, the state-feedback controller drives systems with globally Lipschitz nonlinearities from an arbitrary initial condition to the origin in minimum time. Alternatively, it is possible to satisfy a tracking objective a..

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Awarded by Australian Research Council

Funding Acknowledgements

This work was supported by the Australian Research Council (LP160100666). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Rafael Vazquez under the direction of Editor Miroslav Krstic.