Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 50, Issue 8, Pages 1177-1181Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2005.852550
Keywords
discrete-time systems; linear matrix inequality (LMI); Markov chains; networked control systems; network-induced delays
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We consider the stabilization problem for a class of networked control systems in the discrete-time domain with random delays. The sensor-to-controller and controller-to-actuator delays are modeled as two Markov chains, and the resulting closed-loop systems are jump linear systems with two modes. The necessary and sufficient conditions on the existence of stabilizing controllers are established. It is shown that state-feedback gains are mode-dependent. An iterative linear matrix inequality (LMI) approach is employed to calculate the state-feedback gains.
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