Title :
Robust stabilizability of uncertain linear systems with Markovian jumping parameters
Author :
Benjelloun, E. ; Boukas, E.K. ; Shi, P.
Author_Institution :
Dept. of Mech. Eng., Ecole Polytech. de Montreal, Que., Canada
Abstract :
We study the problem of robust stabilizability of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). Under the assumption of complete access to the continuous state, the stochastic stabilizability of the nominal system and the boundedness of the system´s uncertainties, sufficient conditions which guarantee the robust stability of the uncertain systems are presented, which are in terms of a set of coupled algebraic Riccati equations
Keywords :
Markov processes; Riccati equations; linear systems; robust control; uncertain systems; Markovian jumping parameters; boundedness; continuous state; coupled algebraic Riccati equations; robust stabilizability; stochastic stabilizability; sufficient conditions; uncertain linear systems; Control systems; Councils; Linear systems; Markov processes; Riccati equations; Robust stability; Robustness; State-space methods; Stochastic systems; Uncertainty;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611928
