Non-Fragile Robust H∞ control for a class of Uncertain Singular systems with Multiple time delays:an LMI approach

To a class of complex uncertain singular systems with multiple time delays in state and control input,This paper considers the problem of non-fragile H-infinity controller design method First,based on the stability criterion and linear matrix inequalities(LMIs), a sufficient condition of the existence of the non-fragile H-infinity controller is established Then the problem of control is solved via a robust controller with gain additive and multiplicative perturbations, the designed controller guarantees that the closed-loop system is regular,impulse free and asymptotically stable for all admissible uncertainties, more over, also satisfies H-infinity performance index, which has better adaptability against variety of the environment parameter. A numerical example demonstrates that the systems are robust to both the uncertainty of parameters and perturbations of controller gain.