Sufficient LMI conditions for output feedback control problems

Author

Crusius, César A R ; Trofino, Alexandre

Author_Institution

Stanford Univ., CA, USA

Volume

44

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1053

Lastpage

1057

Abstract

The authors present linear matrix inequality (LMI) conditions for output feedback control problems. The results are based on sufficient conditions because they are dependent on the particular state-space representation used for describing the system. Nevertheless, the conditions are not sensitive to a certain class of state-space transformations, and if the control problem is feasible then there exists some state-space transformation leading the conditions to be necessary and sufficient for the problem. The authors approach can be used for designing decentralized controllers and is easily extended to H ₂, H_∞ and mixed H₂/H_∞ problems via standard LMI techniques. The continuous- and discrete-time cases are considered and numerical examples are given to illustrate the results

Keywords

continuous time systems; decentralised control; discrete time systems; feedback; matrix algebra; stability; state-space methods; H_∞ control; H₂ control; decentralized controllers; linear matrix inequality conditions; mixed H₂/H_∞ problems; output feedback control problems; state-space representation; sufficient LMI conditions; Automatic control; Chaotic communication; Communication system control; Eigenvalues and eigenfunctions; Feedback control; Output feedback; Process control; Sampling methods; Signal processing; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.763227

Filename

763227