TY - JOUR
T1 - On the Functional Observer Design with Sampled Measurement
AU - Habibi, Hamed
AU - Fernando, Tyrone
AU - Darouach, Mohamed
PY - 2023/9/1
Y1 - 2023/9/1
N2 - In this paper, a functional observer for continuous systems with sampled measurement is designed for a class of nonlinear systems, operating under unknown inputs, and the existence conditions are derived. The nonlinear function, as a function of full states, is decomposed to Lipschitz term and an unknown one. The stability and boundedness of the estimation dynamics are analyzed and accordingly, the design procedure is formulated as a Linear Matrix Inequality (LMI) problem. Moreover, the design algorithm for some special cases is obtained. The numerical simulations are performed to evaluate the effectiveness of the proposed approach.
AB - In this paper, a functional observer for continuous systems with sampled measurement is designed for a class of nonlinear systems, operating under unknown inputs, and the existence conditions are derived. The nonlinear function, as a function of full states, is decomposed to Lipschitz term and an unknown one. The stability and boundedness of the estimation dynamics are analyzed and accordingly, the design procedure is formulated as a Linear Matrix Inequality (LMI) problem. Moreover, the design algorithm for some special cases is obtained. The numerical simulations are performed to evaluate the effectiveness of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=85144020752&partnerID=8YFLogxK
U2 - 10.1109/TAC.2022.3226109
DO - 10.1109/TAC.2022.3226109
M3 - Article
AN - SCOPUS:85144020752
SN - 0018-9286
VL - 68
SP - 5759
EP - 5766
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 9
ER -