Abstract
The stability and performance of a networked control system (NCS) strongly depends on the transmission delay. However, the randomness of the transmission delay is an intrinsic property in the network communication, e.g. Ethernet. Aiming at NCS with random transmission delay, a novel control approach is proposed. The transmission delays from sensor-to-controller (SC) and controller-to-actuator (CA) are modelled by two independent Markovian processes. A controller, which is able to monitor the SC delay and synchronously switches according to it, is considered. The resulting closed-loop system is a Markovian jump linear system with randomly piecewise continuous delay. The exponential mean square stability for the given model is established by using a Lyapunov-Krasovskii functional. The performance benefits of the proposed approach are demonstrated in a numerical example.
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