Robust Control of Uncertain Singular Systems with Distributed Delays

Abstract

Robust control for a class of singular systems with distributed delaysand uncertainties is researched. Firstly, a linear state-feedback controller isdesigned. Secondly, without model transformation and matrices decomposition, Asufficient condition for the studied systems, which makes sure the systems tobe regular, impulse free and asymptotically stable, is given by constructingthe appropriate Lyapunov functionals in terms of linear matrixinequalities(LMIs) method and integral inequality technique. The obtained results can be shown in LMIs andsovled easily by LMI toolbox in Matlab. At last, A numerical example is givento illustrate the validity of the method