Guaranteed cost control of uncertain differential linear repetitive processes

Author

Paszke, Wojciech ; Galkowski, Krzysztof ; Rogers, Eric ; Owens, David H.

Author_Institution

Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Poland

Volume

51

Issue

11

fYear

2004

Firstpage

629

Lastpage

634

Abstract

This paper deals with the problem of designing a control law for differential linear repetitive processes based on minimizing a cost function in the presence of uncertainties in the process model. This control law results in a closed-loop stable process with an associated cost function which is bounded for all admissible uncertainties. Moreover, an optimization algorithm is developed to design this law such that it minimizes the upperbound of the closed-loop cost function.

Keywords

closed loop systems; control system synthesis; linear systems; multidimensional systems; optimisation; uncertain systems; 2D systems; closed-loop stable process; control law; cost function minimization; differential repetitive process; guaranteed cost control; linear process; optimization algorithm; process model; uncertain process; Algorithm design and analysis; Control systems; Cost function; Linear matrix inequalities; Linear systems; Optimal control; Process control; Stability; Symmetric matrices; Uncertainty; 2-D; 65; Differential repetitive processes; guaranteed cost control; systems; two-dimensional;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2004.836057

Filename

1356179