From static output feedback to structured robust static output feedback: A survey. (2016)

• Record Type: Journal Article
• Authors: Sadabadi, Mahdieh S.; Peaucelle, Dimitri
• Is Part Of: Annual reviews in control. Volume 42(2016)
• Page Start: 11
• Page End: 26
• Publication Date: 2016
• Subjects: Static output feedback (SOF) -- Structured static output feedback -- Robustness -- Convex optimization -- Linear matrix inequality (LMI) -- Bilinear matrix inequality (BMI) -- Non-smooth non-convex optimization; Automatic control -- Periodicals; Periodicals; 629.805
• DOI: 10.1016/j.arcontrol.2016.09.014
• Languages: English
• ISSNs: 1367-5788

Abstract

Abstract: 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.