Title :
Robust H∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays
Author :
Boukas, E.K. ; Liu, Z.K.
Author_Institution :
Dept. of Mech. Eng., Ecole Polytech. de Montreal, Que., Canada
fDate :
12/1/2001 12:00:00 AM
Abstract :
Considers the class of discrete-time Markovian jump linear system with norm-bounded uncertainties and time-delay, which is dependent on the system mode. Linear matrix inequality (LMI)-based sufficient conditions for the stability, stabilization and H∞ control are developed. A numerical example is worked out to show the usefulness of the theoretical results
Keywords :
H∞ control; Markov processes; delay systems; discrete time systems; linear systems; matrix algebra; robust control; stochastic processes; discrete-time Markovian jump linear systems; linear matrix inequality-based sufficient conditions; mode-dependent time-delays; norm-bounded uncertainties; robust H∞ control; stabilization; Control systems; Linear matrix inequalities; Linear systems; Mechanical engineering; Robust control; Robust stability; Robustness; State-space methods; Sufficient conditions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on