Non-Fragile Guaranteed-Cost Robust H [infinity] Control for Uncertain Singular Time-Delay Systems

This paper considers the problem of non-fragile guaranteed-cost H_infin controller design method for uncertain singular systems with time delays in state and control input. First, based on the stability criterion and linear matrix inequalities (LMI), a sufficient condition of the existence of the non-fragile guaranteed-cost H_infin controller is established. Then the problem of control is solved via a robust controller with gain variations, the designed controller guarantees that the closed-loop system is regular, impulse free and asymptotically stable for all admissible uncertainties, and satisfies a cost bound, more over, also satisfies H_infin performance index. A numerical example demonstrates that the systems are robust to both the uncertainty of parameters and perturbations of controller gain.