Hamidreza Ahmadzadeh - Department of Electrical Engineering Amirkabir University of Technology Tehran, Iran
Masoud Shafiee - Department of Electrical Engineering Amirkabir University of Technology Tehran, Iran

In this paper, the robust observer-based H  control is investigated using sliding mode control (SMC) for class of uncertain continues singular systems in presence of time-delay on state. At first, using the sliding mode control method and defining suitable sliding surface based on estimated states, control law is designed such that insures thereachability of sliding surface. Afterwards, using the Lyapunov-Krasovskii function, sufficient conditions are obtained to guarantee not only the asymptotically admissibility but also satisfying the H  performance level of the closed-loop system for all bounded parameter uncertainties. Conditions are expressed in terms of solvable linear matrix inequality (LMI). Finally, a numerical example illustrated to verify the proposed method validation and efficiency.

Continues singular systems; H  addmissiblity; Time-delay; Sliding mode control; Parameter uncertainty; Linear matrix inequality (LMI).