2DOF controller parametrization for systems with a single I/O delay

Author

Mirkin, Leonid ; Zhong, Qing-Chang

Author_Institution

Fac. of Mech. Eng., Technion Israel Inst. of Technol., Haifa, Israel

Volume

48

Issue

11

fYear

2003

Firstpage

1999

Lastpage

2003

Abstract

This note puts forward a parametrization of all stabilizing two-degrees-of-freedom controllers for (possibly unstable) processes with dead-time. The proposed parametrization is based on a doubly coprime factorization of the plant and takes the form of a generalized Smith predictor (dead-time compensator) feedback part and a finite-dimensional feedforward part (prefilter). Some alternative dead-time compensation schemes and disturbance attenuation limitations are also discussed.

Keywords

H^∞ control; compensation; control system synthesis; delay systems; feedback; feedforward; matrix decomposition; 2DOF controller parametrization; H^∞ transfer matrices; dead-time compensators; disturbance attenuation limitations; disturbance rejection; doubly coprime factorization; finite-dimensional feedforward part; generalized Smith predictor feedback part; prefilter; set-point tracking; single I/O delay; stabilizing two-degrees-of-freedom controllers; time-delay systems; unstable processes; Automata; Automatic control; Computational complexity; Computer science; Control systems; Delay; Discrete event systems; Observability; Process control; Supervisory control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.819286

Filename

1245189