Title : ( Estimating the robust domain of attraction and directional enlargement of attraction domain via Markov models )
Authors: R. K. Moghaddam , Naser Pariz , H.M.Shanechi , Ali Vahidian Kamyad ,
Full TextAbstract
This paper proposes a new approach for estimating the robust domain of attraction (RDA) and directional enlargement of the DA for dynamical systems. The proposed method analyzes stability of dynamical sys- tems by Markov modeling and employs invariant measure as the stability indicator. Markov chains analysis focuses on asymptotic behaviors of systems and ignores the transient ones. The proposed method expresses the problem of estimating RDA and directional enlargement of DA as an infinite dimensional linear problem. The resulting linear problem is converted to a finite dimensional optimization problem using approximated Markov transition function. As a novel application, the directional enlargement of DA is used in order to increase the critical clearing time of power systems. The efficiency of proposed methods is shown via simulations.
Keywords
discrete dynamical systems; domain of attraction; directional enlargement; invariant measure; Perron–Frobenius theorem; power systems stability;Markov chain; robust domain of attraction
@article{paperid:1033816,
author = {R. K. Moghaddam and Pariz, Naser and H.M.Shanechi and Vahidian Kamyad, Ali},
title = {Estimating the robust domain of attraction and directional enlargement of attraction domain via Markov models},
journal = {Optimal control applications and Methods},
year = {2012},
volume = {35},
number = {1},
month = {December},
issn = {0143-2087},
pages = {21--40},
numpages = {19},
keywords = {discrete dynamical systems; domain of attraction; directional enlargement; invariant
measure; Perron–Frobenius theorem; power systems stability;Markov chain; robust domain
of attraction},
}
%0 Journal Article
%T Estimating the robust domain of attraction and directional enlargement of attraction domain via Markov models
%A R. K. Moghaddam
%A Pariz, Naser
%A H.M.Shanechi
%A Vahidian Kamyad, Ali
%J Optimal control applications and Methods
%@ 0143-2087
%D 2012
