Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.

Wanyi Chen; Fengsheng Tu

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 3, page 253-264
  • ISSN: 0010-0757

Abstract

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This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems.

How to cite

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Chen, Wanyi, and Tu, Fengsheng. "Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.." Collectanea Mathematica 48.3 (1997): 253-264. <http://eudml.org/doc/40596>.

@article{Chen1997,
abstract = {This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems. },
author = {Chen, Wanyi, Tu, Fengsheng},
journal = {Collectanea Mathematica},
keywords = {Control lineal; Distribuciones; Ecuación cuadrática; Estabilidad; Parámetros; Realimentación; Perturbaciones; Incertidumb re; bounded perturbations; matching condition; feedback; uncertain distribution parameter systems; Riccati inequalities; quadratic stabilizability},
language = {eng},
number = {3},
pages = {253-264},
title = {Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.},
url = {http://eudml.org/doc/40596},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Chen, Wanyi
AU - Tu, Fengsheng
TI - Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 3
SP - 253
EP - 264
AB - This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems.
LA - eng
KW - Control lineal; Distribuciones; Ecuación cuadrática; Estabilidad; Parámetros; Realimentación; Perturbaciones; Incertidumb re; bounded perturbations; matching condition; feedback; uncertain distribution parameter systems; Riccati inequalities; quadratic stabilizability
UR - http://eudml.org/doc/40596
ER -

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