15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
A SOLUTION TO THE INSENSITIVE H2 PROBLEM AND ITS APPLICATION TO AUTOMOTIVE CONTROL DESIGN
Mohamed YAGOUBI# and Philippe CHEVREL
IRCCyN, UMR C.N.R.S. 6597, 1 rue de la Noë, BP. 92101, 44321 Nantes, France.
Ecole des Mines de Nantes, 4 rue Alfred Kastler, La Chantrerie Nantes 44307, France
# e-mail: Mohamed.Yagoubi@irccyn.ec-nantes.fr

How to solve the insensitive H2 control problem?. This paper tries to discuss this open problem. It first presents a generalization to the multi-parametric case of an existing heuristic. It then proposes a numerical method based on an ILMI algorithm. Finally, the two methods are compared and applied to an automotive control problem so as to show the efficiency of the proposed numerical algorithm.
Keywords: Linear systems, robust control, H2 control, parametric sensitivity, Bilinear Matrix Inequalities, vehicle control
Session slot T-Th-E15: Application of Robust Control III/Area code 2e : Robust Control