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

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Sadabadi , Mahdieh , ; Peaucelle , Dimitri (2016)
  • Publisher: Elsevier
  • Related identifiers: doi: 10.1016/j.arcontrol.2016.09.014
  • Subject: Static output feedback | non-smooth non-convex optimization | bilinear matrix inequality | [ INFO.INFO-AU ] Computer Science [cs]/Automatic Control Engineering | robustness | LMI | convex optimization | structured static output feedback | SOF | linear matrix inequality | BMI
    acm: MathematicsofComputing_NUMERICALANALYSIS

International audience; 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.
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