Title :
Robust and simultaneous stabilization of jump time-delay systems via output feedback
Author :
Pakshin, P.V. ; Emelyanov, A.A.
Author_Institution :
Nizhny Novgorod State Tech. Univ., Arzamas, Russia
Abstract :
The paper considers a class of systems, described by a finite set of linear time-delay plants with jumping transition between them determined by a homogeneous Markov chain. Every state of this chain correspond to some mode of the system. Necessary and sufficient conditions for robust stabilization against polytopic mode uncertainty and for simultaneous stabilization via output feedback are obtained. LMI-based algorithms for computation of gain matrices of stabilizing controllers are also given.
Keywords :
Markov processes; delays; feedback; linear matrix inequalities; stability; LMI-based algorithm; gain matrix; homogeneous Markov chain; jumping transition; linear matrix inequalities; polytopic mode uncertainty; robust stabilization; simultaneous stabilization; time-delay system; Aerodynamics; Control systems; Delay effects; Iterative algorithms; Mathematics; Output feedback; Robust control; Robust stability; Robustness; Sufficient conditions;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514073
