Disturbance decoupling in a class of linear systems

Author

Drea, C.E.T. ; Milani, Basílio E A

Author_Institution

Fac. of Electr. & Comput. Eng., UNICAMP, Sao Paulo, Brazil

Volume

42

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

1427

Lastpage

1431

Abstract

The disturbance decoupling problem by state feedback (DDP) is solved for a class of linear systems where the left-invertible systems are included. Also obtained is a complete characterization of the solution as well as the parameterization of all corresponding state feedback matrices. Such characterization enables one to conclude about the solvability of DDP with stability and/or pole placement. A numerical method is proposed for computation of the controllers in an analytical form, suitable to the treatment of complementary design specifications. The solution of the disturbance decoupling problem by measurement feedback (DDPM) is also discussed and, based on the results obtained for DDP, a procedure for design of a reduced-order compensator is proposed

Keywords

compensation; control system synthesis; linear systems; matrix algebra; pole assignment; reduced order systems; stability; state feedback; DDP; DDPM; disturbance decoupling; left-invertible systems; linear systems; measurement feedback; pole placement; reduced-order compensator design; stability; state feedback; state feedback matrices; Iterative methods; Large-scale systems; Linear systems; Plasmas; Reduced order systems; Riccati equations; Stability; State feedback; System testing; Tokamaks;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.633832

Filename

633832