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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271964
