This paper investigates the control of pressure in a hydraulic circuit containing a dead band and a time varying delay. The dead band is considered as a linear term and a perturbation. A sliding mode controller is designed. Stability conditions are established by making use of Lyapunov-Krasovskii functionals, nonperfect time delay estimation is studied and a condition for the effect of uncertainties on the dead zone on stability is derived. Also, the effect of different LMI formulations on conservativeness is studied. The control law is tested in practice.
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Anthonis et al. (2007) studied this question.
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