Stability analysis and controller design for a linear system with Duhem hysteresis nonlinearity

Author

Ruiyue Ouyang ; Jayawardhana, Bayu

Author_Institution

Dept. Discrete Technol. & Production Autom., Univ. of Groningen, Groningen, Netherlands

fYear

2012

fDate

27-29 June 2012

Firstpage

1676

Lastpage

1681

Abstract

In this paper, we investigate the stability of feedback interconnections between a linear system and a Duhem hysteresis operator, where the linear system satisfies either counter-clockwise (CCW) or clockwise (CW) input-output dynamics [1], [13]. More precisely, depending on the input-output dynamics of each system, we present sufficient conditions on the linear system that guarantee the stability of the closed-loop systems. Based on these results we introduce a control design methodology for stabilizing a linear plant with a counterclockwise Duhem hysteresis operator.

Keywords

closed loop systems; control nonlinearities; control system synthesis; feedback; hysteresis; linear systems; stability; CCW; Duhem hysteresis nonlinearity; clockwise input-output dynamics; closed-loop system stability; controller design; counter-clockwise input-output dynamics; counterclockwise Duhem hysteresis operator; feedback interconnection stability; linear plant stabilization; linear system; stability analysis; Clocks; Closed loop systems; Control design; Hysteresis; Linear systems; Negative feedback; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6314778

Filename

6314778