Non-fragile H∞ static output feedback control for discrete-time linear systems

Author

Ding, Dawei ; Li, Xiaoli ; Yin, Yixin ; Liu, Dexin

Author_Institution

Key Lab. of Adv. Control of Iron & Steel Process (Minist. of Educ.), Univ. of Sci. & Technol. Beijing, Beijing, China

fYear

2011

fDate

23-25 May 2011

Firstpage

407

Lastpage

411

Abstract

This paper investigates the problem of non-fragile static output feedback control (SOF) design for discrete-time linear systems. Interval type of additive gain variations to reflect imprecision in controller implementation is considered. The non-fragile SOF controller design is firstly formulated as a robust convex problem. Then a deterministic algorithm and a randomized one are proposed to solve the obtained robust convex problem. These two algorithms complements each other. The deterministic algorithm is suitable for systems with low dimensions, while the randomized one is applicable for systems with high dimensions. In addition, the randomized algorithm can alleviate the conservatism of the deterministic one. Two examples are given to show the effectiveness of the proposed method.

Keywords

H^∞ control; control system synthesis; discrete time systems; feedback; linear systems; SOF controller design; additive gain variations; deterministic algorithm; discrete-time linear systems; nonfragile H_∞ static output feedback control; robust convex problem; Algorithm design and analysis; Linear systems; Output feedback; Performance analysis; Robustness; Symmetric matrices; Non-fragile; Randomized algorithms; Static output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968213

Filename

5968213