A parametrization of all stabilizing controllers for linear minimum phase single-input and single-output systems

Author

Yamada, Kou

Author_Institution

Dept. of Electr. & Inf. Eng., Yamagata Univ., Yonezawa, Japan

Volume

5

fYear

1999

fDate

1999

Firstpage

68

Abstract

An exact parametrization is given for the class of all proper stabilizing controllers for linear minimum phase systems. This parametrization is simple and does not contain improper controllers, that is, this parametrization contains only proper stabilizing controllers. This parametrization is given by using a supplemental rational function to hold a certain condition and free-parameter. It is shown that this parametrization is independent of selection of supplemental rational functions. A control structure of all stabilizing controllers for the minimum phase system is given. A numerical example to show the effectiveness is given

Keywords

asymptotic stability; linear systems; rational functions; transfer functions; control structure; linear minimum phase SISO systems; parametrization; proper stabilizing controllers; rational function; Continuous time systems; Control design; Control system synthesis; Control systems; Feedback control; State feedback; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.815522

Filename

815522