Distributed Control: A Sequentially Semi-Separable Approach for Spatially Heterogeneous Linear Systems

Author

Rice, Justin K. ; Verhaegen, Michel

Author_Institution

Delft Center for Syst. & Control, Delft Univ. of Technol., Delft

Volume

54

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

1270

Lastpage

1283

Abstract

We consider the problem of designing controllers for spatially-varying interconnected systems distributed in one spatial dimension. The matrix structure of such systems can be exploited to allow fast analysis and design of centralized controllers with simple distributed implementations. Iterative algorithms are provided for stability analysis, H _infin analysis and sub-optimal controller synthesis. For practical implementation of the algorithms, approximations can be used, and the computational efficiency and accuracy are demonstrated on an example.

Keywords

H^infin control; centralised control; control system analysis; control system synthesis; distributed control; interconnected systems; iterative methods; linear systems; matrix algebra; stability; H_infin analysis; centralized controller analysis; controller designing; distributed control; iterative algorithm; matrix structure; sequential semi separable approach; spatial heterogeneous linear system; spatially-varying interconnected system; stability analysis; sub-optimal controller synthesis; Algorithm design and analysis; Centralized control; Computational efficiency; Control system synthesis; Control systems; Distributed control; Interconnected systems; Iterative algorithms; Linear systems; Stability analysis; Distributed control; large scale systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2019802

Filename

4982631