Design of a pressure control system with dead band and time delay

Jan Anthonis 1 Alexandre Seuret 2 Jean-Pierre Richard 3, 4, * Herman Ramon 5
* Corresponding author
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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, non-perfect 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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Jan Anthonis, Alexandre Seuret, Jean-Pierre Richard, Herman Ramon. Design of a pressure control system with dead band and time delay. IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, 2007, 15 (3). ⟨inria-00131415⟩

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