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

DOI

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/).

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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  - 10.2991/ecae-17.2018.32
ID  - Liang2017/12
ER  -