A controller design for Networked Control Systems with random delays via the Jump Linear System approach, which reduces the effects of the delay

Abstract

In this work, the controller design for a Networked Control System (NCS) with random time delays is considered. Therefore, the NCS is reformulated as Jump Linear System (JLS). Then a standard controller design method, which stabilizes the JLS in the second moment sense, is extended such that all sub-systems/sub-matrices of the JLS have some common eigenmodes. For the NCS with random time delays this translates to a reduction of the negative effects caused by the delay. We will also show, that a controller, which gives n common eigenmodes, where n is the dimension of the system, contains a predictor term. Moreover, we propose a new controller type which gives one common eigenmode and can be easily realized if there is delay between the controller and the actuator.