Singularly perturbed implicit control law for linear time varying MIMO systems

Author

Puga, S. ; Bonilla, M. ; Malabre, M.

Author_Institution

IPN, UPIITA, Mexico City, Mexico

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

5743

Lastpage

5748

Abstract

This paper considers the problem of stabilizing amulti-inputmulti-output linear time varying system using a singularly perturbed controller and a model matching controller. The closed loop is a linear singularly perturbed system with uniform asymptotic stability behavior. We calculate bounds ε ∈ (0, ε*) as in the book of Kokotović, Khalil and O´Reilly, such that the uniform asymptotic stability of the singularly perturbed system is guaranteed.

Keywords

MIMO systems; asymptotic stability; closed loop systems; control system synthesis; linear systems; singularly perturbed systems; time-varying systems; closed loop system; linear singularly perturbed system; linear time varying MIMO systems; model matching controller; multiinput multioutput linear time varying system; singularly perturbed controller; singularly perturbed implicit control law; uniform asymptotic stability behavior; Aerospace electronics; Approximation methods; Asymptotic stability; Equations; Mathematical model; Time varying systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6427101

Filename

6427101