Multiobjective Synthesis Using LMI Formulations for Application of the Cutting Plane Algorithm

Mohamed Abbas-Turki (1) , Gilles Duc (1) , Benoit Clement (2)

1 SUPELEC-Campus Gif
2 Lab-STICC_ENSTAB_CID_IHSEV

The problem of designing a controller to meet di erent speci cations or deciding that no such controller exists is addressed in this paper by linking three types of tools: the Youla pa- rameterization allows searching for a controller in a convex set; formulations using Linear Matrix Inequalities (LMI) are proposed for di erent practical speci cations; the correspond- ing convex problem is solved using a Cutting Plane Algorithm (CPA). Such an approach is developed by overcoming the problem of the huge number of additional variables which often occurs in the LMI framework, particulary when used in conjunction with the Youla parameterization. Its e ciency is discussed by considering two practical control problems.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Mohamed Abbas-Turki, Gilles Duc, Benoit Clement. Multiobjective Synthesis Using LMI Formulations for Application of the Cutting Plane Algorithm. European Journal of Control, 2006, 12, pp.40-56. ⟨hal-00674627⟩