Multiobjective Robust Control via youla parametrization

Jan Neering (1) , Rémi Drai (1) , Marc Bordier (1) , Nadia Maïzi (1)

1 CMA - Centre de Mathématiques Appliquées

Using Youla Parametrization and Linear Matrix Inequalities (LMI) a Multiobjective Robust Control (MRC) design for continuous linear time invariant (LTI) systems with bounded uncertainties is described. The design objectives can be a combination of H∞-, H2-performances, constraints on the control signal, etc.. Based on an initial stabilizing controller all stabilizing controllers for the uncertain system can be described by the Youla parametrization. Given this representation, all objectives can be formulated by independent Lyapunov functions, increasing the degree of freedom for the control design.

Mots clés: Continuous time systems; Differential equations; Linear control systems; Lyapunov functions; Multiobjective optimization; Robust control; Uncertain systems

Domaines: Mathématiques appliquées; Automatique

Jan Neering, Rémi Drai, Marc Bordier, Nadia Maïzi. Multiobjective Robust Control via youla parametrization. 2006 IEEE International Conference on Control Applications, CCA 2006, Oct 2006, Munich, Germany. p. 1450-1456 - ISBN 0-7803-9797-5, ⟨10.1109/CACSD-CCA-ISIC.2006.4776855⟩. ⟨hal-00505073⟩