Discrete feedback stabilization of semilinear control systems

Lars Grnüe

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 1, page 207-224
  • ISSN: 1292-8119

Abstract

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For continuous time semilinear control systems with constrained control values stabilizing discrete feedback controls are discussed. It is shown that under an accessibility condition exponential discrete feedback stabilizability is equivalent to open loop exponential asymptotic null controllability. A numerical algorithm for the computation of discrete feedback controls is presented and a numerical example is discussed.

How to cite

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Grnüe, Lars. "Discrete feedback stabilization of semilinear control systems." ESAIM: Control, Optimisation and Calculus of Variations 1 (2010): 207-224. <http://eudml.org/doc/197288>.

@article{Grnüe2010,
abstract = { For continuous time semilinear control systems with constrained control values stabilizing discrete feedback controls are discussed. It is shown that under an accessibility condition exponential discrete feedback stabilizability is equivalent to open loop exponential asymptotic null controllability. A numerical algorithm for the computation of discrete feedback controls is presented and a numerical example is discussed. },
author = {Grnüe, Lars},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Discrete feedback control / stabilization / semilinear control systems / Lyapunov exponents / discounted optimal control problems.; stabilization; exponential stabilizability; discounted optimal control; piecewise constant control},
language = {eng},
month = {3},
pages = {207-224},
publisher = {EDP Sciences},
title = {Discrete feedback stabilization of semilinear control systems},
url = {http://eudml.org/doc/197288},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Grnüe, Lars
TI - Discrete feedback stabilization of semilinear control systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 1
SP - 207
EP - 224
AB - For continuous time semilinear control systems with constrained control values stabilizing discrete feedback controls are discussed. It is shown that under an accessibility condition exponential discrete feedback stabilizability is equivalent to open loop exponential asymptotic null controllability. A numerical algorithm for the computation of discrete feedback controls is presented and a numerical example is discussed.
LA - eng
KW - Discrete feedback control / stabilization / semilinear control systems / Lyapunov exponents / discounted optimal control problems.; stabilization; exponential stabilizability; discounted optimal control; piecewise constant control
UR - http://eudml.org/doc/197288
ER -

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