Title :
Receding horizon optimal control for the wave equation
Author :
Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl
Author_Institution :
Univ. of Bayreuth, Bayreuth, Germany
Abstract :
We present a receding horizon optimal control approach for the one-dimensional linear wave equation. In order to prove stability and suboptimality of this approach we use a weighted energy as cost functional. Furthermore, we apply similar methods to a semilinear parabolic equation.
Keywords :
optimal control; parabolic equations; predictive control; stability; wave equations; one-dimensional linear wave equation; receding horizon optimal control; semilinear parabolic equation; stability; Aerospace electronics; Controllability; Equations; Mathematical model; Numerical stability; Optimization; Propagation;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717272