Observer-based robust control for uncertain systems with time-varying delay

This paper is concerned with the function observer-based stabilization for time-varying delay systems with parameter uncertainties. The uncertain systems tackled in this paper involve uncertainty in quadratic constrained form which includes the well-known normbounded time-varying uncertainty as a special case. In terms of Razumikhin-type stability theorem, we show that the feasibility of several matrix inequalities guarantees the solvability of the addressed problem. Furthermore, we propose a parametric approach for function observer-based robust stabilizer design.