Robust Static Output-Feedback Control of Stochastic Continuous Time-Delayed Systems

• 成果类型: Article
• 署名作者: Gershon, Eli; Shaked, Uri
• 署名单位: Tel Aviv University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3135454
• 发表日期: 2022
• 页码: 6167-6172
• 关键词: Polytopic uncertainty; Robust control; static output feedback; Stochastic systems

摘要

In this article, a descriptor method is introduced for designing static output-feedback controllers for linear, continuous-time, retarded, stochastic systems that achieves a prescribed H-infinity performance. A design solution is obtained for the uncertain case, where the parameters of the system matrices reside in a given polytope. The latter solution enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is also extended to the gain-scheduling case, and it is demonstrated by two examples. The first example compares various solution methods and the second is one of robust pitch control of an aircraft.