Analysis of The Region of Attraction for Saturating Control Systems —In Consideration of The Direct-feedthrough Matrix from Output to Input of Saturations—

Hiroto Itai; Takashi Sasamoto; Tsuyoshi Kiyama; Toshiyuki Kitamori

doi:10.11499/sicep.2002.0.573.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.573.0

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Analysis of The Region of Attraction for Saturating Control Systems

—In Consideration of The Direct-feedthrough Matrix from Output to Input of Saturations—

Hiroto Itai, Takashi Sasamoto, Tsuyoshi Kiyama, Toshiyuki Kitamori

Author information

Keywords: saturation nonlinearity, dead-zone nonlinearity, regional stability, quadratic separator, LMI

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 573

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Abstract

This paper proposes two regional stability conditions, equivalently analysis conditions of the region of attraction, for linear time (LTI) sustems with saturations. We consider two analysis approaches in order to derive the conditions. One is an extension of Park’s condition in the case of non-zero 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.

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