POLYNOMIAL STATIC OUTPUT FEEDBACK H ∞ CONTROL FOR CONTINUOUS-TIME LINEAR SYSTEMS VIA DESCRIPTOR APPROACH

Badreddine El Haiek (1) , Taha Zoulagh (1) , Abdelaziz Hmamed (1) , El Mostafa El Adel (2, 3)

1 LESSI-départment de physique
2 AMU - Aix Marseille Université
3 LSIS- INSM - Laboratoire des Sciences de l'Information et des Systèmes : Ingénierie Numérique des Systèmes Mécaniques

This paper deals with the problem of the robust static output feedback H ∞ control (SOFC) for continuous linear systems with polytopic uncertainties. The controller has been gotten by the use of descriptor redundancy. Under this approach a sufficient condition is provided for the existence of a solution to the problem. Thus, the advantage of this method is to obtain more free matrices in the design condition, also the polynomial approach helps to have a less conservative result. In the end, the performance of the method is shown by several examples.

Mots clés: Robust static output feedback H ∞ control; Linear matrix inequalities (LMIs); Polytopic uncertainty; Homogenous matrices

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

Badreddine El Haiek, Taha Zoulagh, Abdelaziz Hmamed, El Mostafa El Adel. POLYNOMIAL STATIC OUTPUT FEEDBACK H ∞ CONTROL FOR CONTINUOUS-TIME LINEAR SYSTEMS VIA DESCRIPTOR APPROACH. International Journal of Innovative Computing, Information and Control, 2017, 13 (3), pp.941 - 952. ⟨hal-02318663⟩