Robust Output Feedback Control Design in the Presence of Sporadic Measurements

• 成果类型: Article
• 署名作者: Merco, Roberto; Ferrante, Francesco; Sanfelice, Ricardo G.; Pisu, Pierluigi
• 署名单位: Clemson University; University of Perugia; University of California System; University of California Santa Cruz
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3213616
• 发表日期: 2023
• 页码: 3768-3775
• 关键词: Output feedback; Closed loop systems; Time measurement; stability analysis; Numerical stability; Feeds; Symmetric matrices; control design; hybrid systems; Lyapunov methods; Robust control

摘要

feedback control design for linear time -invariant systems in the presence of sporadic measurements and exogenous perturbations is addressed. To cope with the sporadic availability of measurements of the output, a hybrid dynamic out-put feedback controller equipped with a holding device whose state is reset when a new measurement is available is designed. The closed-loop system, resulting from the interconnection of the controller and the plant, is augmented with a timer variable trig-gering the arrival of new measurements and its properties are analyzed using hybrid system tools. Building upon Lyapunov the-ory for hybrid systems, sufficient conditions for internal and L-2 input-to-output stability are proposed. A linear matrix inequalities-based design methodology for the codesign of the gains of the controller and the parameters of the holding device is presented. The effectiveness of the proposed design approach is showcased in a numerical example.