Synthesis of γ-positive real feedback systems

Author

Sakamoto, Noboru ; Sugiura, Masaki ; Hayashi, Mikihiko ; Suzuki, Masayuki

Author_Institution

Dept. of Aerosp. Eng., Nagoya Univ., Japan

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2854

Abstract

In this paper, we consider the problem of synthesizing a controller that internally stabilizes a given system and renders the closed loop system γ-positive real. Necessary and sufficient conditions for the existence of a controller are obtained. The results enable us to design a positive real closed loop system with a precise dissipation rate and phase property. An example is illustrated for phase curve shaping and an application to absolute stability of systems with sector nonlinearities

Keywords

absolute stability; closed loop systems; control system synthesis; feedback; linear systems; matrix algebra; robust control; transfer functions; absolute stability; closed loop system; linear systems; necessary condition; phase curve shaping; positive real feedback systems; robust control; sector nonlinearities; sufficient condition; Books; Closed loop systems; Control system synthesis; Control systems; Control theory; Eigenvalues and eigenfunctions; Feedback; Riccati equations; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573551

Filename

573551