Computation of all stabilizing PID gains for digital control systems

Citation
H. Xu et al., Computation of all stabilizing PID gains for digital control systems, IEEE AUTO C, 46(4), 2001, pp. 647-652
Citations number
3
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
4
Year of publication
2001
Pages
647 - 652
Database
ISI
SICI code
0018-9286(200104)46:4<647:COASPG>2.0.ZU;2-#
Abstract
This note determines the set of all proportional-integral-derivative (PID) gains that can stabilize a given discrete-time plant of arbitrary order. Ut ilizing earlier results obtained for the continuous-time case and the bilin ear transformation, it is shown that a complete solution fan be obtained us ing linear programming. Several numerical examples are presented to ii lust rate the procedure.