DocumentCode :
574522
Title :
On PID control of dynamic systems with hysteresis using a Prandtl-Ishlinskii model
Author :
Riccardi, L. ; Naso, David ; Turchiano, B. ; Janocha, H. ; Palagachev, D.K.
Author_Institution :
Dept. of Electron. & Electr. Sci. (DEE, Politec. di Bariri, Bari, Italy
fYear :
2012
fDate :
27-29 June 2012
Firstpage :
1670
Lastpage :
1675
Abstract :
This papers deals with PI and PID control of second order systems with an input hysteresis described by a modified Prandtl-Ishlinskii model. The problem of the asymptotic tracking of constant references is re-formulated as the stability of a polytopic linear differential inclusion. This offers a simple linear matrix inequality condition that, when satisfied with the chosen PI or PID controller gains, ensures the tracking of constant reference and also allows the designer to establish a performance index. The validation of the approach is performed experimentally on a Magnetic Shape Memory Alloy micrometric positioning system.
Keywords :
PI control; hysteresis; linear matrix inequalities; performance index; position control; shape memory effects; stability; three-term control; PI control; PID control; Prandtl-Ishlinskii model; asymptotic tracking; constant references; dynamic systems; input hysteresis; magnetic shape memory alloy micrometric positioning system; performance index; polytopic linear differential inclusion; second order systems; simple linear matrix inequality condition; stability; Actuators; Asymptotic stability; Hysteresis; Magnetic hysteresis; PD control; Stability criteria;
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.2012.6315107
Filename :
6315107
Link To Document :
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