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Observer-based networked control with probabilistic interval input delays

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Abstract

In this paper, the problem of observer-based control is investigated for networked control systems (NCSs) with probabilistic interval distribution communication delays. In the presence of network-induced delays and packet dropouts in the sensor-to-controller and controller-to-actuator connections, a new model for an observer-based NCS is established, which is then converted to an equivalent linear system with two random time-varying delays satisfying Bernoulli distributions. By utilizing information concerning the probability distribution of the delays and by adopting a tighter bounding technique, less conservative asymptotic mean-square stable sufficient conditions are derived in the form of linear matrix inequalities (LMIs). Numerical examples are provided to demonstrate the effectiveness of the proposed method.

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Correspondence to Jian Feng.

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Wang, S., Feng, J., Zhao, Q. et al. Observer-based networked control with probabilistic interval input delays. Int. J. Control Autom. Syst. 12, 904–914 (2014). https://doi.org/10.1007/s12555-013-0112-y

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  • DOI: https://doi.org/10.1007/s12555-013-0112-y

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