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 | United States |
| City | Milwauke |
| Period | 6/27/18 → 6/29/18 |
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Cite this
Multi-Objective Nonlinear Observer Design using BMIs. / Wang, Yan; Rajamani, Rajesh; Zemouche, Ali.
2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1346-1351 8431383 (Proceedings of the American Control Conference; Vol. 2018-June).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Multi-Objective Nonlinear Observer Design using BMIs
AU - Wang, Yan
AU - Rajamani, Rajesh
AU - Zemouche, Ali
PY - 2018/8/9
Y1 - 2018/8/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85052572974&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052572974&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8431383
DO - 10.23919/ACC.2018.8431383
M3 - Conference contribution
AN - SCOPUS:85052572974
SN - 9781538654286
T3 - Proceedings of the American Control Conference
SP - 1346
EP - 1351
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
ER -