Title :
Robust H∞ control of Markovian jump systems with mixed time delays
Author :
Karimi, Hamid Reza ; Luo, Ningsu ; Zapateiro, Mauricio
Author_Institution :
Dept. of Eng., Univ. of Agder, Grimstad, Norway
Abstract :
In this paper, the problem of stability analysis and control synthesis for Markovian jump linear systems with time delays and norm-bounded uncertainties is studied. The model under consideration consists of different time-invariant discrete, neutral and distributed delays. Delay-dependent sufficient conditions for the design of a mode-dependent delayed state feedback H∞ control are given in terms of linear matrix inequalities (LMIs). A controller which guarantees stochastic stability and a prescribed level of H∞ performance for the closed-loop system is then developed. A Lyapunov-Krasovskii functional (LKF) method underlies the control design. A numerical example with simulation results illustrates the effectiveness of the methodology.
Keywords :
H∞ control; Lyapunov methods; asymptotic stability; closed loop systems; control system analysis; control system synthesis; delays; linear matrix inequalities; linear systems; robust control; state feedback; stochastic systems; Lyapunov- Krasovskii functional; Markovian jump linear system; closed loop system; control synthesis; distributed delay; linear matrix inequality; mixed time delay; norm bounded uncertainty; robust H∞ control; stability analysis; state feedback; stochastic stability; time invariant delay; Delay; Linear matrix inequalities; Markov processes; Robustness; Stability analysis; Uncertainty;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5716931
