Mathematical Analysis of Stability and Drift Behavior of Hydraulic Cylinders Driven by a Servovalve

Abstract

Hydraulic cylinders are commonly used and many works deal with modeling and control of such devices. This article deals with the stability properties of hydraulic cylinders drift in various situations. The study is based on a classic nonlinear model of these physical systems. The cases of system models without leakages and models with cylinder leakages or servovalve leakages are distinguished and lead to distinct behaviors. The stability properties are proven by various mathematical arguments such as first integrals, Lyapunov theorems, LA SALLE invariance principle, BARBALAT ’s lemma, and the center manifold theory.