From Static Output Feedback to Structured Robust Static Output Feedback: A Survey

Mahdieh S. Sadabadi (1) , Dimitri Peaucelle (2)

1 LIU - Linköping University
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper reviews the vast literature on static output feedback design for linear time-invariant systems including classical results and recent developments. In particular, we focus on static output feedback synthesis with performance specifications, structured static output feedback, and robustness. The paper provides a comprehensive review on existing design approaches including iterative linear matrix inequalities heuristics, linear matrix inequalities with rank constraints, methods with decoupled Lyapunov matrices, and non-Lyapunov-based approaches. We describe the main difficulties of dealing with static output feedback design and summarize the main features, advantages, and limitations of existing design methods. Keywords: Static output feedback (SOF), structured static output feedback , robustness, convex optimization, linear matrix inequality (LMI), bilinear matrix inequality (BMI), non-smooth non-convex optimization.

Mots clés: Static output feedback; convex optimization; LMI; robustness; bilinear matrix inequality; BMI; non-smooth non-convex optimization; structured static output feedback; SOF; linear matrix inequality

Domaines: Automatique

Mahdieh S. Sadabadi, Dimitri Peaucelle. From Static Output Feedback to Structured Robust Static Output Feedback: A Survey. Annual Reviews in Control, 2016, 42 (11-26), ⟨10.1016/j.arcontrol.2016.09.014⟩. ⟨hal-01342560⟩