LPVcore: MATLAB Toolbox for LPV Modelling, Identification and Control

TL;DR

LPVcore is a MATLAB toolbox that enables modeling, simulation, identification, and control of LPV systems using basis affine representations, offering a global approach for time-varying trajectories.

Contribution

The paper introduces LPVcore, a MATLAB toolbox that uniquely supports global LPV system representations with basis affine functions, unlike existing tools.

Findings

Successfully identified a DC motor with an unbalanced disc using the toolbox.

Demonstrated comprehensive capabilities for simulation and control of LPV systems.

Provided accessible software and examples for the research community.

Abstract

This paper describes the LPVcore software package for MATLAB developed to model, simulate, estimate and control systems via linear parameter-varying (LPV) input-output (IO), state-space (SS) and linear fractional (LFR) representations. In the LPVcore toolbox, basis affine parameter-varying matrix functions are implemented to enable users to represent LPV systems in a global setting, i.e., for time-varying scheduling trajectories. This is a key difference compared to other software suites that use a grid or only LFR-based representations. The paper contains an overview of functions in the toolbox to simulate and identify IO, SS and LFR representations. Based on various prediction-error minimization methods, a comprehensive example is given on the identification of a DC motor with an unbalanced disc, demonstrating the capabilities of the toolbox. The software and examples are available on www.lpvcore.net.