Tan, J., Olaru, S., Ampountolas, K. , Martinez Molina, J. J. and Xu, F. (2019) A Novel RPI Set Computation Method for Discrete-time LPV Systems with Bounded Uncertainties. In: 2019 IEEE 15th International Conference on Control and Automation (ICCA), Edinburgh, United Kingdom, 16-19 Jul 2019, pp. 946-951. ISBN 97817281116431 (doi: 10.1109/ICCA.2019.8899945)
|
Text
207815.pdf - Accepted Version 1MB |
Abstract
Set invariance plays a fundamental role in the analysis and design of linear systems. This paper proposes a novel method for constructing robust positively invariant (RPI) sets for discrete-time linear parameter varying (LPV) systems. Starting from the stability assumption in the absence of disturbances, we aim to construct the RPI sets for parametric uncertain system. The existence condition of a common quadratic Lyapunov function for all vertices of the polytopic system is relaxed in the present study. Thus the proposed method enlarges the application field of RPI sets to LPV systems. A family of approximations of minimal robust positively invariant(mRPI) sets are obtained by using a shrinking procedure. Finally, the effect of scheduling variables on the size of the mRPI set is analyzed to obtain more accurate set characterization of the uncertain LPV system. A numerical example is used to illustrate the effectiveness of the proposed method.
| Item Type: | Conference Proceedings |
|---|---|
| Additional Information: | This work was partially supported by the National Natural Science Foundation of China (No. U1813216), the Science and Technology Planning Project of Guangdong Province (No. 2017B010116001), the Basic Research Program of Shenzhen (JCYJ20170817152701660 and JCYJ20170412171459177) and a grant of Ministry of Research and Innovation, CNCS - UEFISCDI, project number PN-III-P1-1.1-TE-2016-0862, MOSCBIOS, within PNCDI III. |
| Keywords: | Set invariance, minimal robust positively invariant sets (mRPI), LPV, robust positively invariant sets (RPI). |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Ampountolas, Dr Konstantinos |
| Authors: | Tan, J., Olaru, S., Ampountolas, K., Martinez Molina, J. J., and Xu, F. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| ISSN: | 1948-3457 |
| ISBN: | 97817281116431 |
| Published Online: | 14 November 2019 |
| Copyright Holders: | Copyright © 2019 IEEE |
| First Published: | First published in 2019 IEEE 15th International Conference on Control and Automation (ICCA): 946-951 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details