Details

Autor(en) / Beteiligte

• Riccardi, L.
• Naso, D.
• Turchiano, B.
• Janocha, H.
• Schlueter, K.

Titel

PID control of linear systems with an input hysteresis described by Prandtl-Ishlinskii models

Ist Teil von

• 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012, p.5158-5163

Ort / Verlag

IEEE

Erscheinungsjahr

2012

Link zum Volltext

• IEEE_Xplore

Quelle

IEEE Electronic Library (IEL)

Beschreibungen/Notizen

• This paper deals with the stability analysis of PI and PID control of dynamic systems with an input hysteresis described by a modified Prandtl-Ishlinskii model. The problem of the asymptotic tracking of constant references is reformulated 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 references, allows the designer to establish a performance index and allows using powerful analysis and design tools for the controller. The validation of the approach is performed experimentally on a Magnetic Shape Memory Alloy micrometric positioning system.