Robust stabilization for the plant with varying number of unstable poles and low sensitivity characteristics

Author

Yamada, Kou

Author_Institution

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

Volume

4

fYear

1998

fDate

21-26 Jun 1998

Firstpage

2050

Abstract

We consider the robust stability condition for single-input single-output continuous time invariant systems with varying number of unstable poles. First, we define a class of uncertainty to be considered. The necessary and sufficient robust stability condition for the system with such class of uncertainty is presented. The relation between the plant and the nominal plant that is included in such class of uncertainty, is clarified. By using this relation, we show the necessary and sufficient robust stability condition for the system with varying number of right half plane poles. In this framework, we can construct the control system with low sensitivity characteristics and robustly stable

Keywords

continuous time systems; poles and zeros; sensitivity analysis; stability; uncertain systems; SISO systems; continuous time invariant systems; necessary condition; sensitivity; stability; stabilization; sufficient condition; uncertain systems; unstable poles; Attenuation; Control systems; Design methodology; Robust control; Robust stability; Robustness; State-space methods; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.702987

Filename

702987