Title :
Robust and simultaneous stabilization of jump discrete-time systems with control-dependent noise via output feedback
Author :
Pakshin, P.V. ; Pachaev, V.V.
Author_Institution :
Dept. of Appl. Math., Nizhny Novgorod State Univ., Arzamas, Russia
Abstract :
The paper considers a class of jump discrete-time control systems, composed of a set of plants with transition between them determined by a homogeneous Markov chain taking values in a finite set of modes. When the mode is fixed, the plant state evolves according to the individual linear dynamic corrupted by control dependent noises. Necessary and sufficient conditions for robust stabilization against polytopic mode uncertainty and for simultaneous stabilization via output feedback are obtained. LMI based algorithms for computations of the gain matrices of stabilizing controllers are also given.
Keywords :
Markov processes; discrete time systems; feedback; linear matrix inequalities; robust control; stability; LMI; control-dependent noise; gain matrices; homogeneous Markov chain; jump discrete-time control system; linear matrix inequalities; output feedback; polytopic mode uncertainty; robust stabilization; stabilizing controller; Control systems; Control theory; Iterative algorithms; Mathematics; Noise robustness; Open loop systems; Output feedback; Robust control; Sufficient conditions; Uncertainty;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514043
