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 design to establish a performance index. The validation of the approach is performed experimentally on a Magnetic Shape Memory Alloy micrometric positioning system
On PID control of dynamic systems with hysteresis using a Prandtl-Ishlinskii model / Riccardi, L.; Naso, D.; Turchiano, B.; Janocha, H.; Palagachev, D. K.. - STAMPA. - (2012), pp. 6315107.1670-6315107.1675. (Intervento presentato al convegno American Control Conference, ACC 2012 tenutosi a Montreal, Canada nel June 27-29, 2012) [10.1109/ACC.2012.6315107].
On PID control of dynamic systems with hysteresis using a Prandtl-Ishlinskii model
L. Riccardi;D. Naso;B. Turchiano;D. K. Palagachev
2012-01-01
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 design to establish a performance index. The validation of the approach is performed experimentally on a Magnetic Shape Memory Alloy micrometric positioning systemI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
