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A very important component of the flight control of the airplane is the hydraulic servomechanism, which can be mechanical or electrical. In this paper a mathematical model for an electrohydraulic servomechanism (EHS) is proposed. EHS is modeled by a five-dimensional switched nonlinear system of differential equations. The novelty of the paper consists in approaching the presence of time delay in the mathematical model and in the study of the stabilization problem that arises. Since the ESH is an automatic system, there are two possible location of the delay: on state variable or on control variable. A study of the stability in the presence of delay on control will be presented.

A problem of stabilization for the mathematical model of electrohydraulic servomechanism with control delay