A review of stable exact model matching by state feedback

Author

Kucera, Vladimir ; Castaneda Toledo, Eduardo

Author_Institution

Fac. of Electr. Eng., Czech Tech. Univ. in Prague, Prague, Czech Republic

fYear

2014

fDate

16-19 June 2014

Firstpage

85

Lastpage

90

Abstract

The problem of exact model matching by static state feedback is revisited. The main approaches applied to solve the problem are reviewed. The original solution based on matrix fraction descriptions is used to obtain a new parametric stable solution to the model matching problem. A constructive procedure is given that is based on column degree control and determinant control of a polynomial matrix. An interpretation of the existence conditions is provided in terms of equivalence relations over the rings of polynomials, proper rational functions, and proper and stable rational functions.

Keywords

pattern matching; polynomial matrices; state feedback; column degree control; determinant control; matrix fraction descriptions; parametric stable solution; polynomial matrix; rational functions; stable exact model matching; static state feedback; Mathematical model; Numerical models; Polynomials; State feedback; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (MED), 2014 22nd Mediterranean Conference of

Conference_Location

Palermo

Print_ISBN

978-1-4799-5900-6

Type

conf

DOI

10.1109/MED.2014.6961331

Filename

6961331