Title :
PID control of second-order systems with hysteresis
Author :
Jayawardhana, Bayu ; Logemann, Hartmut ; Ryan, Eugene P.
Author_Institution :
Univ. of Manchester, Manchester
Abstract :
The efficacy of proportional, derivative and integral (PID) control for set point regulation and disturbance rejection is investigated in a context of mechanical systems with hysteretic components. Two basic structures are studied: in the first, the hysteretic component resides (internally) in the restoring force action of the system ("hysteretic spring" effects); in the second, the hysteretic component resides (externally) in the input channel (e.g. piezo-electric actuators). In each case, robust conditions on the PID gains, explicitly formulated in terms of system data, are determined under which asymptotic tracking of constant reference signals and rejection of constant disturbance signals is guaranteed.
Keywords :
control system analysis; hysteresis; three-term control; PID control; asymptotic tracking; constant disturbance signals; constant reference signals; disturbance rejection; hysteretic components; hysteretic spring; mechanical systems; piezo-electric actuators; proportional-derivative-integral control; restoring force action; second-order systems; set point regulation; Control systems; Hysteresis; Mechanical systems; PD control; Pi control; Piezoelectric actuators; Proportional control; Signal restoration; Springs; Three-term control;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434646