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Stochastic Robust Reduced Order H-infinity Observer-based Control

Authors:Zasadzinski Michel, Universite Henri Poincare - Nancy I, France
Halabi Souheil, Universite Henri Poincare - Nancy I, France
Rafaralahy Hugues, Universite Henri Poincare - Nancy I, France
Souley Ali Harouna, Universite Henri Poincare - Nancy I, France
Darouach Mohamed, Universite Henri Poincare - Nancy I, France
Topic:2.5 Robust Control
Session:Robust Controller Synthesis for Stochastic Systems
Keywords: Linear stochastic systems, Uncertain systems, Observer-based control, Reduced-order controller, H-infinity optimization, LMI.

Abstract

This paper considers robust reduced order H-infinity observer-based control for stochastic systems. The proposed approach is divided into two steps. First, we search for a linear control law to ensure H-infinity specification. Then, the obtained linear combination of the state is used to solve an unbiasedness (decoupling) condition on the drift part of the closed-loop system. Finally, deterministic functional filtering techniques are applied to obtain the observer-based controller.