Abolpour, R., Dehghani, M. and Sad Abadi, M.S. orcid.org/0000-0002-4609-9152 (2021) Designing controller parameters of an LPV system via design space exploration. European Journal of Control, 59. pp. 47-57. ISSN 0947-3580
Abstract
This paper deals with the stabilizability problem of linear parameter varying (LPV) systems. It is assumed that LPV models affinely depend on time-varying uncertain and time-invariant design parameters. The uncertain parameters, their time-derivations, and design parameters belong to polygonal convex spaces. The stabilizability problem of such systems is studied. Extending the stability conditions to stabilizability conditions generally causes nonlinearity issues due to the coupling between the Lyapunov and design variables. To cope with this issue, a design space exploration algorithm (DSEA) is proposed to accurately determine the design parameters with a feasibility performance similar to stability analysis approaches. DSEA removes the undesired parts of the design subspace that cannot stabilize the model. Then, it checks the corner points of the remaining subspaces to find a stabilizing point. This procedure continues until a stabilizing point is found or the whole design subspaces are detected to be undesirable. Three hundred random LPV systems are generated to compare the feasibility performance of DSEA with existing approaches. Also, the proposed approach is used to stabilize the LPV model of a microgrid consisting of several distributed generation units and energy storage systems. The simulation results show the superiority of DSEA over the existing approaches.
Metadata
Authors/Creators: |
|
---|---|
Copyright, Publisher and Additional Information: | © 2021 European Control Association. This is an author produced version of a paper subsequently published in European Journal of Control. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | Characteristic polynomial; Design space exploration algorithm; LPV system; Undesired infeasible points; Stabilizability |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 Mar 2021 09:18 |
Last Modified: | 12 Feb 2022 01:38 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1016/j.ejcon.2021.02.001 |