2009
DOI: 10.1002/rnc.1548
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Stabilization of networked control systems with short or long random delays: A new multirate method

Abstract: SUMMARYIn 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-de… Show more

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Cited by 20 publications
(7 citation statements)
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“…Therefore, there is great interest in these areas, and new models that deal with delays and packet dropouts have been developed. In [38], authors proposed a novel NCS model, in which different sampling periods are considered into the system. The continuous plant is described as in Section II-A.…”
Section: A Control Over Networkmentioning
confidence: 99%
“…Therefore, there is great interest in these areas, and new models that deal with delays and packet dropouts have been developed. In [38], authors proposed a novel NCS model, in which different sampling periods are considered into the system. The continuous plant is described as in Section II-A.…”
Section: A Control Over Networkmentioning
confidence: 99%
“…NCSs have attracted much attention [2][3][4][5] in recent years because of its potential applications to remote and distributed control. NCSs are now being implemented over wireless networks because of the need for rapid deployment, flexible installation and node mobility in many military, commercial and industrial applications [6].…”
Section: Introductionmentioning
confidence: 99%
“…In [29], a networked‐based model predictive control method was proposed to stabilise the discrete‐time MR‐SDS wherein the time‐varying network‐induced delays are approximated by the integral multiples of the base sampling period. In [30], a mode‐dependent state feedback controller was introduced to stabilise a class of linear MR‐SDSs with some network constraints. A discrete‐time approximation method for SR‐SDSs was extended to investigate respectively the exponential stability and input–output stability of MR‐SDSs in [31].…”
Section: Introductionmentioning
confidence: 99%