A Hyperbolic PDE-ODE System with Delay-Robust Stabilization
R. Ramadevi. International Journal of Trend in Scientific Research and Development, 2 (5):
1988-1990(August 2018)
Abstract
This paper is concerned with a new development of a delay-robust stabilizing feedback control law for linear ordinary differential equation coupled with two linear first order hyperbolic equations in the actuation path. A second change of variables that reduces the stabilization problem of the PDE-ODE system to that of a time-delay system for which a forecaster can be constructed. Hence, by choosing the pole placement on the ODE when constructing the forecaster, enabling a trade-off between convergence rate and delay-robustness. The proposed feedback law is finally proved to be robust to small delays in the actuation. R. Priyanka | S. RamadeviÄ Hyperbolic PDE-ODE System with Delay-Robust Stabilization" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018, URL: http://www.ijtsrd.com/papers/ijtsrd17157.pdf http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka
%0 Journal Article
%1 noauthororeditor
%A Ramadevi, R. Priyanka | S.
%D 2018
%J International Journal of Trend in Scientific Research and Development
%K Hyperbolic Stabilization Time-delay differential equation partial systems
%N 5
%P 1988-1990
%T A Hyperbolic PDE-ODE System with Delay-Robust Stabilization
%U http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka
%V 2
%X This paper is concerned with a new development of a delay-robust stabilizing feedback control law for linear ordinary differential equation coupled with two linear first order hyperbolic equations in the actuation path. A second change of variables that reduces the stabilization problem of the PDE-ODE system to that of a time-delay system for which a forecaster can be constructed. Hence, by choosing the pole placement on the ODE when constructing the forecaster, enabling a trade-off between convergence rate and delay-robustness. The proposed feedback law is finally proved to be robust to small delays in the actuation. R. Priyanka | S. RamadeviÄ Hyperbolic PDE-ODE System with Delay-Robust Stabilization" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018, URL: http://www.ijtsrd.com/papers/ijtsrd17157.pdf http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka
@article{noauthororeditor,
abstract = {This paper is concerned with a new development of a delay-robust stabilizing feedback control law for linear ordinary differential equation coupled with two linear first order hyperbolic equations in the actuation path. A second change of variables that reduces the stabilization problem of the PDE-ODE system to that of a time-delay system for which a forecaster can be constructed. Hence, by choosing the pole placement on the ODE when constructing the forecaster, enabling a trade-off between convergence rate and delay-robustness. The proposed feedback law is finally proved to be robust to small delays in the actuation. R. Priyanka | S. Ramadevi"A Hyperbolic PDE-ODE System with Delay-Robust Stabilization" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018, URL: http://www.ijtsrd.com/papers/ijtsrd17157.pdf http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka
},
added-at = {2018-10-03T08:41:00.000+0200},
author = {Ramadevi, R. Priyanka | S.},
biburl = {https://www.bibsonomy.org/bibtex/279fdd3e03676ff923ca490541a13ecc8/ijtsrd},
interhash = {df0e4b42803da06b8196fd1be4eba8c7},
intrahash = {79fdd3e03676ff923ca490541a13ecc8},
issn = {2456-6470},
journal = {International Journal of Trend in Scientific Research and Development},
keywords = {Hyperbolic Stabilization Time-delay differential equation partial systems},
language = {English},
month = aug,
number = 5,
pages = {1988-1990},
timestamp = {2018-10-03T08:41:00.000+0200},
title = {A Hyperbolic PDE-ODE System with Delay-Robust Stabilization
},
url = {http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka},
volume = 2,
year = 2018
}