H _∞ negative imaginary static output feedback controller for low frequency networked control systems

Abstract

AbstractIn this paper, an H∞ negative imaginary static output feedback (SOF) controller is designed for a low frequency (LF) networked control system (NCS) with time-delays. A difference operator is introduced to deal with the time-delays in a feedback configuration via integral quadratic constraints (IQCs). Both H∞ performance and negative imaginariness are analysed via LF IQCs and a generalised Kalman–Yakubovich–Popov (GKYP) lemma. A two-stage algorithm is presented to obtain the H∞ negative imaginary SOF controller for the LF NCS with time-delays. Simulation results are given to show the effectiveness and superiority of the H∞ negative imaginary SOF controller.Keywords: Networked control systemslow frequencyH∞ static output feedbacknegative imaginarytime-delays AcknowledgementsThe authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe work was supported by the National Natural Science Foundation of China under Grant 61973230.