Analysis of the region of attraction for saturating control systems-in consideration of the direct-feedthrough matrix from output to input of saturations

Author

Itai, Hiroto ; Sasamoto, Takashi ; Kiyama, Tsuyoshi ; Kitamori, Toshiyuki

Author_Institution

Osaka Univ., Suita Osaka, Japan

Volume

4

fYear

2002

fDate

5-7 Aug. 2002

Firstpage

2603

Abstract

This paper proposes two regional stability conditions, equivalently analysis conditions of the region of attraction, for linear time-invariant (LTI) systems with saturations. We consider two analysis approaches in order to derive the conditions. One is an extension of the condition of Park and Choi (2001) in the case of nonzero direct-feedthrough matrix from output to input of the saturation. The other is a transformation from the condition for discrete time systems to a condition for continuous time systems. Finally, we show that the derived conditions are less conservative than the existing results by numerical examples.

Keywords

linear systems; matrix algebra; stability criteria; LTI systems; attraction region analysis; continuous time systems; direct-feedthrough matrix; discrete time systems; linear time invariant systems; nonzero direct-feedthrough matrix; regional stability conditions; saturating control systems; Continuous time systems; Control system synthesis; Control systems; Discrete time systems; Linear matrix inequalities; Nonlinear systems; Robust control; Size control; Stability analysis; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2002. Proceedings of the 41st SICE Annual Conference

Print_ISBN

0-7803-7631-5

Type

conf

DOI

10.1109/SICE.2002.1195831

Filename

1195831