Abstract
This paper applies a nonconvex bilinear matrix inequality (BMI) based approach to design a nonlinear observer that satisfies multiple performance criteria simultaneously. First, the feasibility analysis of the BMI constraint is transformed into an eigenvalue problem and the convex-concave based sequential LMI optimization method is applied to search for a feasible solution. Then, the design of the nonlinear observer is formulated as a BMI feasibility problem where the estimation error dynamics is transformed into a Lure system with a sector condition constructed from the element-wise bounds on the Jacobian matrix of the nonlinearities. Finally, a numerical example is presented to demonstrate the applicability of the proposed algorithm.
| Original language | English (US) |
|---|---|
| Title of host publication | 2018 Annual American Control Conference, ACC 2018 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1346-1351 |
| Number of pages | 6 |
| ISBN (Print) | 9781538654286 |
| DOIs | |
| State | Published - Aug 9 2018 |
| Event | 2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018 |
Publication series
| Name | Proceedings of the American Control Conference |
|---|---|
| Volume | 2018-June |
| ISSN (Print) | 0743-1619 |
Other
| Other | 2018 Annual American Control Conference, ACC 2018 |
|---|---|
| Country/Territory | United States |
| City | Milwauke |
| Period | 6/27/18 → 6/29/18 |
Bibliographical note
Funding Information:VI. ACKNOWLEDGMENTS This work was supported in part by funding from the US National Science Foundation under Grant CMMI 1562006.
Publisher Copyright:
© 2018 AACC.