Adaptive inverse control of piezoelectric actuators with hysteresis operators

Author

Kuhnen, K. ; Janocha, H.

Author_Institution

Lab. for Process Autom., Univ. of Saarland, Saarbrücken, Germany

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

791

Lastpage

796

Abstract

The present paper will describe an approach for the compensation of the hysteretic transfer characteristics of a piezoelectric stack transducer by an adaptive inverse hysteretic control. The basis of the inverse control is formed by a weighted superposition of elementary stop-type hysteresis operators which, in terms of mathematics, can be easily described and which reflect the qualitative properties of the inverse transfer characteristic of the transducer. Starting with a linear characteristic the weigths of an inverse hysteretic observer are identified during operation by a stable adaption law and transformed to the controller parameter. As a result the maximum linearity error caused by hysteresis is lowered about one order of magnitude.

Keywords

adaptive control; hysteresis; nonlinear control systems; observers; piezoelectric actuators; piezoelectric transducers; adaptive inverse hysteretic control; elementary stop-type hysteresis operators; hysteresis operators; hysteretic transfer characteristics; inverse hysteretic observer; inverse transfer characteristic; maximum linearity error; piezoelectric actuators; piezoelectric stack transducer; qualitative properties; stable adaption law; weighted superposition; Adaptation models; Hysteresis; Mathematical model; Observers; Piezoelectric actuators; Process control; Transducers; adaptive control; hysteresis; nonlinear control; piezoelectric actuator;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099402