TY - GEN
T1 - LMI formulations for designing controllers according to time response and stability margin constraints
AU - Abbas-Turki, Mohamed
AU - Duc, Gilles
AU - Clement, Benoît
PY - 2005/12
Y1 - 2005/12
N2 - Designing a controller with respect to time and frequency-domain objectives remains a difficult problem, although both kinds are generally present in the manufacturer specifications. In general, the temporal objectives are replaced by frequency dependent ones, which in major cases do not fit the actual expectations. In this paper, convex mathematical translations of both kinds of objectives are proposed using Linear Matrix Inequalities (LMI). The application of Youla parameterization allows to restore the linearity in the compensator parameters, but a huge state space representation of the system is induced. Thus the Cutting Plane Algorithm (CPA) is efficiently used to overcome the problem of having a huge number of added variables, which often occurs in Semi-Definite Programming (SDP) particulary when used in conjunction with the Youla parameterization.
AB - Designing a controller with respect to time and frequency-domain objectives remains a difficult problem, although both kinds are generally present in the manufacturer specifications. In general, the temporal objectives are replaced by frequency dependent ones, which in major cases do not fit the actual expectations. In this paper, convex mathematical translations of both kinds of objectives are proposed using Linear Matrix Inequalities (LMI). The application of Youla parameterization allows to restore the linearity in the compensator parameters, but a huge state space representation of the system is induced. Thus the Cutting Plane Algorithm (CPA) is efficiently used to overcome the problem of having a huge number of added variables, which often occurs in Semi-Definite Programming (SDP) particulary when used in conjunction with the Youla parameterization.
UR - http://www.scopus.com/inward/record.url?scp=33847199318&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1583078
DO - 10.1109/CDC.2005.1583078
M3 - Conference contribution
AN - SCOPUS:33847199318
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 5740
EP - 5745
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -