Model-Based Networked Control Systems – Stability

Luis A. Montestruque, Panos J. Antsaklis

ISIS Technical Report ISIS-2002-001, January 2001.

Abstract -- In this report the control of continuous linear plants where the state sensor is connected to a linear controller/actuator via a network is addressed. The work focuses on reducing the network usage using knowledge of the plant dynamics. Specifically, the controller uses an explicit model of the plant that approximates the plant dynamics and makes possible stabilization of the plant even under slow network conditions. Necessary and sufficient conditions for stability are derived for the presented setup in terms of the update time h and the parameters of the plant and of its model. The deterioration of behavior when either h or the modeling error increase is explicitly shown.

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