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RESEARCH PRODUCT

Robust H<inf>∞</inf> control of Markovian jump systems with mixed time delays

Hamid Reza KarimiNingsu LuoMauricio Zapateiro

subject

symbols.namesakeExponential stabilityControl theoryRobustness (computer science)Linear systemsymbolsMarkov processState (functional analysis)Robust controlStability (probability)Mathematics

description

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.

yearjournalcountryeditionlanguage
2010-12-0149th IEEE Conference on Decision and Control (CDC)
https://doi.org/10.1109/cdc.2010.5716931