Stabilization of networked control systems with short or long random delays: a new multirate method. (English) Zbl 1203.93084

Summary: In this paper, the stabilization of a class of Networked Control Systems (NCSs) with time-varying delay is discussed where the random delay is less than one sensor period or more than one sensor period but bounded. A new multirate method is proposed to formulate the union model for both short and long random delays. Sufficient conditions on the existence of stabilizing controllers are established when the transition probability matrix is known. V-K iteration approach is employed to calculate the mode-dependent and mode-independent state-feedback gains of NCSs.


93B52 Feedback control
93D15 Stabilization of systems by feedback
93C05 Linear systems in control theory
93A14 Decentralized systems
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
Full Text: DOI


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