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

Abstract

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 norm‐bounded 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.