New robust stability and stabilization conditions for linear repetitive processes

Author

Paszke, Wojciech ; Bachelier, Olivier

Author_Institution

Control Syst. Technol. Group, Eindhoven Univ. of Technol., Eindhoven, Netherlands

fYear

2009

fDate

June 29 2009-July 1 2009

Firstpage

1

Lastpage

6

Abstract

This paper focuses on the problem of robust stabilization for differential or discrete linear repetitive processes. The provided conditions allow us to involve parameter dependent Lyapunov functions. An additional flexibility in finding a solution is obtained by introducing slack matrix variables. A simulation example is given to illustrate the theoretical developments.

Keywords

Lyapunov methods; discrete systems; linear matrix inequalities; linear systems; robust control; stability; differential linear repetitive processes; discrete linear repetitive processes; linear matrix inequalities; linear repetitive processes; parameter dependent Lyapunov functions; robust stability; slack matrix variables; stabilization conditions; Electrical equipment industry; Embedded system; Linear matrix inequalities; Linear systems; Lyapunov method; Robust stability; Robustness; State feedback; Symmetric matrices; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Multidimensional (nD) Systems, 2009. nDS 2009. International Workshop on

Conference_Location

Thessaloniki

Print_ISBN

978-1-4244-2797-0

Electronic_ISBN

978-1-4244-2798-7

Type

conf

DOI

10.1109/NDS.2009.5196179

Filename

5196179