This paper provides a passivity based framework to synthesize lm2-stable
digital control networks in which m strictly-output passive controllers can control n−m
strictly-output passive plants. The communication between the plants and controllers
can tolerate time varying delay and data dropouts. In particular, we introduce a
power-junction-network, a general class of input-output-wave-variable-network which
allows even a single controller (typically designed to control a single plant) to accurately
control the output of multiple plants even if the corresponding dynamics of
each plant is different. In addition to the power-junction-network we also introduce a
passive downsampler (PDS) and passive upsampler (PUS) in order to further reduce
networking traffic while maintaining stability and tracking properties. A detailed (soft
real-time) set of examples shows the tracking performance of the networked control
system.
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