Abstract
This paper is concerned with the filter design problem for linear parameter varying (LPV) discrete-time systems with nonlinearities described by integral quadratic constraints. The LPV system is considered to have an arbitrary dependence on the time-varying parameters, not necessarily rational. The filter designed assures a bound to the worst case gain from the disturbance input to the filtering error. The development of the proposed approach is based on the existence of a quadratic storage function. The conditions are given in terms of linear matrix inequalities and are derived through congruence transformations and change of variables. Numerical examples illustrate the applicability and performance of the proposed method.
Original language | English (US) |
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Title of host publication | 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 1042-1047 |
Number of pages | 6 |
ISBN (Electronic) | 9781509007592 |
DOIs | |
State | Published - Oct 19 2016 |
Event | 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina Duration: Sep 19 2016 → Sep 22 2016 |
Publication series
Name | Proceedings of the IEEE International Symposium on Computer-Aided Control System Design |
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Volume | 2016-October |
ISSN (Print) | 2165-3011 |
ISSN (Electronic) | 2165-302X |
Other
Other | 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 |
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Country/Territory | Argentina |
City | Buenos Aires |
Period | 9/19/16 → 9/22/16 |
Bibliographical note
Funding Information:This work was supported by the São Paulo Research Foundation (FAPESP) grant 2015/00269-5. This work was also supported by the National Science Foundation under Grant No. NSF-CMMI-1254129 entitled "CAREER: Probabilistic Tools for High Reliability Monitoring and Control of Wind Farms".
Publisher Copyright:
© 2016 IEEE.