Dynamic zero finding for algebraic equations
File(s)
Accepted version
Author(s)
Mylvaganam, T
Ortega, Romeo
Machado, Juan
Astolfi, Alessandro
Type
Conference Paper
Abstract
In a variety of contexts, for example the solution of differential games and the control of power systems, the design of feedback control laws requires the solution of nonlinear algebraic equations: obtaining such solutions is often not trivial. Motivated by such situations we consider systems of nonlinear algebraic equations and propose a method for obtaining their solutions. In particular, a dynamical system is introduced and (locally) stabilizing control laws which ensure that elements of the state converge to a solution of the algebraic equations are given. Illustrative numerical examples are provided. In addition it is shown that the proposed method is applicable to determine the equilibria of electrical networks with constant power loads.
Date Issued
2018-11-29
Date Acceptance
2018-02-08
Citation
2018 European Control Conference (ECC), 2018, pp.1244-1249
Publisher
IEEE
Start Page
1244
End Page
1249
Journal / Book Title
2018 European Control Conference (ECC)
Copyright Statement
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor
Commission of the European Communities
Commission of the European Communities
Grant Number
739551
664639
Source
European Control Conference
Subjects
Science & Technology
Technology
Automation & Control Systems
TRANSIENT STABILITY
SYSTEMS
Publication Status
Published
Start Date
2018-06-12
Finish Date
2018-06-15
Coverage Spatial
Limassol, Cyprus
Date Publish Online
2018-11-29