Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

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This article is devoted to the problem of H control for a class discount greenery of singular Markovian jump systems with time-varying delay and generally uncertain transition rates, which means each transition rate is completely unknown or only its estimated value is known.By using Lyapunov stability theory, a new delay-dependent H admissible criterion in terms of strict linear matrix inequalities is obtained, which guarantees that the singular Markovian jump system with known transitions rates is regular, impulse-free and stochastically stable with a prescribed H disturbance attenuation level γ.Based on this obtained criterion, some suitable state feedback controllers are designed such that the closed-loop delayed singular Markovian jump system redken shades 9gi with generally uncertain transition rates is H stochastically admissible.Finally, numerical examples are included to illustrate the effectiveness and the less conservativeness of the proposed method.