Title :
Stabilization and pole placement with respect to state constraints: a robust design via LMI
Author :
Faiz, S.E. ; Rami, M. Ait ; Benzaouia, A.
Author_Institution :
Dept. of Phys., Fac. of Sci., Marrakech, Morocco
Abstract :
In this paper, the pole placement problem for linear systems under state constraints is treated. We provide a theoretical and numerical approach to find a stabilizing state feedback control law making the system positively invariant and such that some closed-loop eigenvalues are located. Our numerical procedure is based on Linear Matrix Inequality (LMI).
Keywords :
linear matrix inequalities; linear systems; optimisation; pole assignment; stability; state feedback; LMI; closed loop eigenvalues; linear matrix inequality; linear systems; pole placement; stabilization; state constraints; state feedback control; Control systems; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Linear systems; Physics; Robust stability; Robustness; State feedback; Symmetric matrices;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272632
