Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems

TL;DR

This paper develops new LMI-based criteria for designing dynamic output-feedback controllers for aperiodic impulsive systems with dwell-time constraints, enabling numerical synthesis and application to sample-data systems.

Contribution

It introduces novel clock-dependent LMI conditions for stabilizing output-feedback control of aperiodic impulsive systems, extending existing methods to a broader class of systems.

Findings

LMI conditions can be solved numerically using sum-of-squares relaxation.

The approach successfully designs controllers for aperiodic sample-data systems.

Numerical example demonstrates effectiveness of the proposed method.

Abstract

We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear matrix inequalities (LMIs) which can be solved numerically, e.g., by using matrix sum-of-squares relaxation methods. We show that our results allow us to design dynamic output-feedback controllers for aperiodic sample-data systems and illustrate the proposed approach by means of a numerical example.