Robust static output feedback H∞ control design for linear systems with polytopic uncertainties

• Published in: Systems & control letters Vol. 85; pp. 23 - 32
• Main Authors: Chang, Xiao-Heng, Park, Ju H., Zhou, Jianping
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2015
• Subjects: Linear matrix inequalities (LMIs); Linear systems; Polytopic uncertainties; Static output feedback [formula omitted] controllers; Linear systems; Static output feedback H∞ controllers; Linear matrix inequalities (LMIs); Polytopic uncertainties
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2015.08.007

This paper investigates the problem of robust static output feedback H∞ control for linear systems with polytopic uncertainties. A new method is proposed for robust static output feedback H∞ controller design. The proposed design method is applicable for general uncertain systems, without the need to impose any constraints on system matrices. The corresponding design conditions are presented in the form of linear matrix inequalities (LMIs). One of the advantages of the new method lies in its less conservatism. The proposed design method is also applicable to both continuous-time and discrete-time systems. The performance of the method is compared with other methods based on several examples.