Title :
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
fDate :
June 29 2009-July 1 2009
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;
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
DOI :
10.1109/NDS.2009.5196179