Title : ( Global asymptotic stabilisation of rational dynamical systems based on solving BMI )
Authors: Farhad Esmaili , Ali Vahidian Kamyad , Mohammad Reza Jahed-Motlagh , Naser Pariz ,
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Abstract
In this paper, the global asymptotic stabiliser design of rational systemsis studied in detail. To develop the idea, the state equations of the systemare transformed to a new coordinate via polynomial transformation and the state feedback control law. This in turn is followed by the satisfaction of the linear growth condition (i.e. Lipschitz at zero). Based on a linearmatrix inequality solution, the systemin the new coordinate is globally asymptotically stabilised and then, leading to the global asymptotic stabilisation of the primary system. The polynomial transformation coefficients are derived by solving the bilinear matrix inequality problem. To confirm the capability of this method, three examples are highlighted.
Keywords
Rational systems; bilinear matrix inequality; global stabilisation; polynomial transformation; polynomial Lyapunov function
@article{paperid:1058301,
author = {Farhad Esmaili and Vahidian Kamyad, Ali and Mohammad Reza Jahed-Motlagh and Pariz, Naser},
title = {Global asymptotic stabilisation of rational dynamical systems based on solving BMI},
journal = {International Journal of Control},
year = {2016},
volume = {90},
number = {8},
month = {January},
issn = {0020-7179},
pages = {1769--1777},
numpages = {8},
keywords = {Rational systems; bilinear matrix inequality; global stabilisation; polynomial transformation; polynomial
Lyapunov function},
}
%0 Journal Article
%T Global asymptotic stabilisation of rational dynamical systems based on solving BMI
%A Farhad Esmaili
%A Vahidian Kamyad, Ali
%A Mohammad Reza Jahed-Motlagh
%A Pariz, Naser
%J International Journal of Control
%@ 0020-7179
%D 2016
