6533b851fe1ef96bd12a909c

RESEARCH PRODUCT

Guaranteed tuning of PID controllers for parametric uncertain systems

J. MonrealJorge BondiaE. WalterA. KiefferJesús Picó

subject

Control theoryFrequency domainPID controllerControl engineeringInterval (mathematics)Set theoryReference modelConstraint satisfaction problemParametric statisticsMathematics

description

This paper presents a methodology for tuning the controller of a parametric uncertain plant in order to guarantee the satisfaction of specifications. These specifications are defined by means of an interval reference model that represents the set of satisfactory time or frequency behaviors. The controller synthesis is then formulated as a set-inclusion problem in the frequency domain. Interval techniques for the solution of constraint satisfaction problems are applied to design fixed-structure controllers in a guaranteed manner. In particular, PID controllers are considered since they are widely used in industry.

yearjournalcountryeditionlanguage
2004-01-012004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)
https://doi.org/10.1109/cdc.2004.1428915