TY - GEN
T1 - Robust delay-dependent H∞ filtering for a class of LPV state-delayed systems
AU - Karimi, H. R.
AU - Lohmann, B.
AU - Buskens, C.
PY - 2007
Y1 - 2007
N2 - This paper deals with the robust delay-dependent H∞ filtering problem for a class of LPV systems with multiple constant time-delays in the state vector. It is shown that, by using the Hamiltonian-Jacoby-Isaac (HJI) function and the polynomially parameter-dependent quadratic functions and a suitable change of variables, the required sufficient conditions with high precision are established in terms of parameter-independent linear matrix inequalities (LMIs) for the existence of the desired H∞ filters. However, the explicit expression of the robust delay-dependent H ∞ filters is derived to satisfy both asymptotic stability and H∞ performance. A numerical example is provided to demonstrate the validity of the proposed design approach.
AB - This paper deals with the robust delay-dependent H∞ filtering problem for a class of LPV systems with multiple constant time-delays in the state vector. It is shown that, by using the Hamiltonian-Jacoby-Isaac (HJI) function and the polynomially parameter-dependent quadratic functions and a suitable change of variables, the required sufficient conditions with high precision are established in terms of parameter-independent linear matrix inequalities (LMIs) for the existence of the desired H∞ filters. However, the explicit expression of the robust delay-dependent H ∞ filters is derived to satisfy both asymptotic stability and H∞ performance. A numerical example is provided to demonstrate the validity of the proposed design approach.
UR - http://www.scopus.com/inward/record.url?scp=43049179517&partnerID=8YFLogxK
U2 - 10.1109/CCA.2006.286091
DO - 10.1109/CCA.2006.286091
M3 - Conference contribution
AN - SCOPUS:43049179517
SN - 0780397959
SN - 9780780397958
T3 - Proceedings of the IEEE International Conference on Control Applications
SP - 1457
EP - 1462
BT - Proceedings of the 2006 IEEE International Conference on Control Applications
T2 - Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Y2 - 4 October 2006 through 6 October 2006
ER -