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.
|Titolo:||PID Control of Linear Systems with an Input Hysteresis Described by Prandtl-Ishlinskii Models|
|Data di pubblicazione:||2012|
|Nome del convegno:||51st IEEE Conference on Decision and Control, CDC 2012|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1109/CDC.2012.6425926|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|