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.
T2 - 2018 Annual American Control Conference, ACC 2018
Y2 - 27 June 2018 through 29 June 2018
ER -