Decentralised H control for singular systems

In this article, considering the design problem of decentralised H controller of singular systems, the two cases of controllers via measurement feedback are designed: one is precise controller, and the other is additive controller gain variation. The design procedures of the two cases of controllers are presented in terms of the solutions to generalised algebraic Riccati inequalities. The designed controllers in each case guarantee that closed-loop singular systems are admissible and with H-norm bound on disturbance attenuation. Finally, a numerical example to demonstrate the validity of the proposed approach is given.