New modelling technique for aperiodic-sampling linear systems

TL;DR

This paper introduces a new modeling approach for aperiodic-sampling linear systems that incorporates sampling sequences directly, offering an alternative to traditional discretization methods for system identification and control.

Contribution

It develops a general input-output modeling technique that includes sampling sequences and provides conditions for model validity, bypassing Z-transform-based discretization.

Findings

Provides a valid model for aperiodic sampling sequences

Offers an alternative to Z-transform discretization methods

Applicable for system identification and control

Abstract

A general input-output modelling technique for aperiodic-sampling linear systems has been developed. The procedure describes the dynamics of the system and includes the sequence of sampling periods among the variables to be handled. Some restrictive conditions on the sampling sequence are imposed in order to guarantee the validity of the model. The particularization to the periodic case represents an alternative to the classic methods of discretization of continuous systems without using the Z-transform. This kind of representation can be used largely for identification and control purposes.