DocumentCode
2614709
Title
Results on discrete-time control-Lyapunov functions
Author
Kellett, Christopher M. ; Teel, Andrew R.
Author_Institution
Dept. of Electr. & Electron. Eng., Melbourne Univ., Vic., Australia
Volume
6
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
5961
Abstract
We demonstrate the existence of a smooth control-Lyapunov function (CLF) for difference equations asymptotically controllable to closed sets. This follows from a more general result on the existence of a weak Lyapunov function under the assumption of weak asymptotic stability of a closed (not necessarily compact) set for a difference inclusion. We use the derived CLF to construct a robust stabilizer.
Keywords
Lyapunov methods; asymptotic stability; control system synthesis; difference equations; discrete time systems; robust control; asymptotic stability; discrete-time control; equations asymptotically controllable; robust stabilizer; smooth control-Lyapunov function; Additive noise; Control design; Controllability; Cost function; Difference equations; Lyapunov method; Noise measurement; Noise robustness; Optimal control; Robust control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1271964
Filename
1271964
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