Receding horizon optimal control for infinite dimensional systems

Kazufumi Ito; Karl Kunisch

ESAIM: Control, Optimisation and Calculus of Variations (2002)

  • Volume: 8, page 741-760
  • ISSN: 1292-8119

Abstract

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The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.

How to cite

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Ito, Kazufumi, and Kunisch, Karl. "Receding horizon optimal control for infinite dimensional systems." ESAIM: Control, Optimisation and Calculus of Variations 8 (2002): 741-760. <http://eudml.org/doc/244631>.

@article{Ito2002,
abstract = {The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.},
author = {Ito, Kazufumi, Kunisch, Karl},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {receding horizon control; control Lyapunov function; Lyapunov equations; closed loop dissipative; minimum value function; Navier–Stokes equations; closed loop dissipative system; Navier-Stokes equations},
language = {eng},
pages = {741-760},
publisher = {EDP-Sciences},
title = {Receding horizon optimal control for infinite dimensional systems},
url = {http://eudml.org/doc/244631},
volume = {8},
year = {2002},
}

TY - JOUR
AU - Ito, Kazufumi
AU - Kunisch, Karl
TI - Receding horizon optimal control for infinite dimensional systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2002
PB - EDP-Sciences
VL - 8
SP - 741
EP - 760
AB - The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.
LA - eng
KW - receding horizon control; control Lyapunov function; Lyapunov equations; closed loop dissipative; minimum value function; Navier–Stokes equations; closed loop dissipative system; Navier-Stokes equations
UR - http://eudml.org/doc/244631
ER -

References

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