Title :
Design and analysis of controllers for discontinuous dynamic systems by reshaping of Poincare map
Author_Institution :
Thayer Sch. of Eng., Dartmouth Coll., Hanover, NH, USA
Abstract :
Examines the problem of precise position control when the system being controlled has a dead zone and cannot be described with differentiable dynamics. The behavior of the system under proportional-integral-derivative (PID) control is analysed using the Poincare map, which shows the existence of a stable fixed point and a disjoint collection of intervals which are mapped to the desired position (the origin). The author also addresses the design and analysis of discontinuous control systems by the technique of reshaping of the Poincare map
Keywords :
control system analysis; control system synthesis; position control; sampled data systems; PID control; Poincare map; discontinuous control systems; discontinuous dynamic systems; precise position control; proportional-integral-derivative control; stable fixed point; Chaos; Control system analysis; Control systems; Differential equations; Friction; Gears; Mechanical systems; Nonlinear dynamical systems; Size control; Three-term control;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325021
