TY - JOUR
T1 - H2/H∞ CONTROL WITHOUT LYAPUNOV MATRIX OR FREQUENCY WEIGHTS
AU - Abbas-Turki, Mohamed
AU - Duc, Gilles
AU - Clement, Benoît
PY - 2005
Y1 - 2005
N2 - The multiobjective control problem is difficult and remains mostly open. Although the Linear Matrix Inequalities (LMI) provide a powerful analysis technique, a trade-off must be done in the relaxation to restore LMI's properties in control synthesis. The Youla parameterization is one of the skill to restore LMI's properties while generating all possible compensators. in this paper, it is shown that Youla parameterization can lead to H2 optimisation without introducing additional decision variables, and allows to perform frequency shaping (such as flexible modes attenuation) without having to choose frequency weights.
AB - The multiobjective control problem is difficult and remains mostly open. Although the Linear Matrix Inequalities (LMI) provide a powerful analysis technique, a trade-off must be done in the relaxation to restore LMI's properties in control synthesis. The Youla parameterization is one of the skill to restore LMI's properties while generating all possible compensators. in this paper, it is shown that Youla parameterization can lead to H2 optimisation without introducing additional decision variables, and allows to perform frequency shaping (such as flexible modes attenuation) without having to choose frequency weights.
KW - LMI
KW - Multiobjective control
KW - Youla parameterization
UR - http://www.scopus.com/inward/record.url?scp=79960720323&partnerID=8YFLogxK
U2 - 10.3182/20050703-6-cz-1902.00559
DO - 10.3182/20050703-6-cz-1902.00559
M3 - Conference article
AN - SCOPUS:79960720323
SN - 1474-6670
VL - 38
SP - 952
EP - 957
JO - IFAC Proceedings Volumes (IFAC-PapersOnline)
JF - IFAC Proceedings Volumes (IFAC-PapersOnline)
IS - 1
ER -