Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)

Robust L1 Model Reduction for Linear Parameter-Varying Systems with Parameter-Varying Delays

Authors
Yan Liang
Corresponding Author
Yan Liang
Available Online December 2017.
DOI
https://doi.org/10.2991/ecae-17.2018.32How to use a DOI?
Keywords
robust L1 model reduction; linear parameter-varying (LPV) systems; parameter-dependent Lyapunov function (PDLF)
Abstract

In this paper, we investigate the problem of robust L1 model reduction for linear parameter-varying (LPV) systems with parameter-varying delays. It is essential that the design of reduced-order system guarantees LPV error system to be asymptotically stable and satisfy peak-to-peak performance constraint with respect to all bounded peak value input signals. By using parameter-dependent Lyapunov function (PDLF), the sufficient conditions for the existence of the peak-to-peak criterion are established for error system with time delays for the first time, which realize the decoupling between the system matrices and PDLF matrices by introducing a slack matrix and applying Projection lemma. Under the conditions, the reduced-order system can be obtained in terms of linear matrix inequality (LMI) technology. Based on the approximate basis function and the gridding technique, the design problem of reduced-order system is cast into convex optimization problem subject to parameter LMI constraints. Finally, the validity of the proposed design method is illustrated by a numerical example.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
Series
Advances in Engineering Research
Publication Date
December 2017
ISBN
978-94-6252-458-3
ISSN
2352-5401
DOI
https://doi.org/10.2991/ecae-17.2018.32How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yan Liang
PY  - 2017/12
DA  - 2017/12
TI  - Robust L1 Model Reduction for Linear Parameter-Varying Systems with Parameter-Varying Delays
BT  - Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
PB  - Atlantis Press
SP  - 148
EP  - 152
SN  - 2352-5401
UR  - https://doi.org/10.2991/ecae-17.2018.32
DO  - https://doi.org/10.2991/ecae-17.2018.32
ID  - Liang2017/12
ER  -