Exponential stability of a PI plus reset integrator controller by a sampled-data system approach

TL;DR

This paper presents a sampled-data system approach to analyze the exponential stability of a control system combining a PI controller with a reset integrator, introducing new LMI conditions for stability assurance.

Contribution

It introduces novel LMI conditions for exponential stability of PI plus reset integrator controllers using a sampled-data system framework.

Findings

New LMI conditions ensure exponential stability

Stability analysis applicable to time-delay reset control systems

Sampled-data approach provides a systematic stability verification

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 resulting of the connection of a plant with a proportional and integral controller together with a reset integrator (PI+RI).