Exponential stability of a PI plus reset integrator controller by a sampled-data system approach
Miguel A. Davó, Frédéric Gouaisbaut, Alfonso Baños, Sophie Tarbouriech, Alexandre Seuret · arXiv (Cornell University) · 2016
The paper deals with the stability analysis of time-delay reset control systems, for which the resetting law is assumed to satisfy a time-dependent condition. A stability analysis of the closed-loop system is performed based on an appropriate sampled-data system. New linear matrix inequality (LMI) conditions are proposed to ensure the exponential stability of the closed-loop resulting of the connection of a plant with a proportional and integral controller together with a reset integrator (PI+RI).