Exponential stability of a PI plus reset integrator controller by a sampled-data system approach. (August 2018)

• Record Type: Journal Article
• Authors: Davó, M.A.; Gouaisbaut, F.; Baños, A.; Tarbouriech, S.; Seuret, A.
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 133
• Page End: 146
• Publication Date: 2018-08
• Subjects: Time delay -- Reset control systems -- Sampled-data systems -- Stability analysis -- LMI; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.01.008
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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 system resulting from the connection of a plant with a proportional and integral controller together with a reset integrator (PI+RI). Highlights: A time-delay reset control system based on a PI plus reset integrator controller. Formulation of the reset control system into the framework of sampled-data systems. Exponential stability criteria in the form of LMIs based on the Lyapunov–Krasovskii method and a looped-functional. Exponential stabilization of unstable base systems by forcing reset actions.