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Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions

by Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 113 - Number 8
Year of Publication: 2015
Authors: Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal
10.5120/19848-1714

Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal . Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions. International Journal of Computer Applications. 113, 8 ( March 2015), 26-31. DOI=10.5120/19848-1714

@article{ 10.5120/19848-1714,
author = { Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal },
title = { Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions },
journal = { International Journal of Computer Applications },
issue_date = { March 2015 },
volume = { 113 },
number = { 8 },
month = { March },
year = { 2015 },
issn = { 0975-8887 },
pages = { 26-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume113/number8/19848-1714/ },
doi = { 10.5120/19848-1714 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:50:26.672816+05:30
%A Hesam Sajjadi
%A Reyhaneh Kardehi Moghaddam
%A Najmeh Eghbal
%T Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions
%J International Journal of Computer Applications
%@ 0975-8887
%V 113
%N 8
%P 26-31
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a new controller is proposed to stabilize an especial class of hybrid piecewise affine systems. In this study, for the first time, the stabilizing controller is designed based on discontinuous piecewise quadratic Lyapunov functions which decrease the conservation and propose a wider class of applicable Lyapunov functions as it omits the continuity condition in boundary points compared to continuous piecewise quadratic Lyapunov functions. In addition the stability conditions are formulated in the form of Bilinear Matrix Inequalities (BMI) problem. To solve the proposed problem, BMI is defined in the form of a multi-objective nonlinear optimization problem which has been solved through using genetic Algorithm (GA).

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Index Terms

Computer Science
Information Sciences

Keywords

Bilinear matrix inequalities discontinuous piecewise quadratic lyapunov function multiple lyapunov function piecewise affine

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