Title :
Finite time stabilization of linear systems by state feedback : Application to mixing tank system
Author :
Ben Njima, Chakib ; Ben Mabrouk, Walid ; Messaoud, Hassani
Author_Institution :
Ecole Nat. d´Ing. de Monastir, Monastir, Tunisia
Abstract :
In this paper finite time stabilization of linear systems is considered. First we provide a formula for a finite time stabilizing state feedback control law, for the last class of system. Then we give a Linear Matrix Inequality method to finite time stabilizing state feedback control law of linear systems. A comparative study is given. A numerical example is given to illustrate the main result.
Keywords :
level control; linear matrix inequalities; linear systems; mixing; stability; state feedback; tanks (containers); temperature control; finite time stabilization; finite time stabilizing state feedback control law; linear matrix inequality method; linear systems; mixing tank system; Linear matrix inequalities; Linear systems; Numerical stability; Stability analysis; State feedback; Temperature; Thermal stability; Finite-time stabilization; Linear Matrix Inequality; Mixing tank system; non linear affine system; uncertain system;
Conference_Titel :
Control, Decision and Information Technologies (CoDIT), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-5547-6
DOI :
10.1109/CoDIT.2013.6689577