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Observer-based Networked Control with Probabilistic Interval Input Delays

Shenquan Wang, Jian Feng*, Qing Zhao, and Yulian Jiang
International Journal of Control, Automation, and Systems, vol. 12, no. 4, pp.904-914, 2014

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 in-formation 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 effec-tiveness of the proposed method.

Keyword : Linear matrix inequality, mean-square stability, networked control systems, observer, probabilistic interval input delays.

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