Abstract
This paper considers the stabilization of a set of distributed networked control systems (NCSs) with limited bandwidth and power resources. An interesting stochastic channel scheduling policy is proposed to assign the channel access of each node according to a pre-assigned probability distribution. Our aim is to stabilize all the NCSs by effectively assigning the probability distribution and appropriately allocating the transmission powers. The role of probability distribution assignment is to guarantee the length of channel accessing time needed by all plants; the effect of power allocation is to ensure a desired packet arrival rate of each channel. By minimizing the expected transmission power cost, an optimal co-design algorithm of probability distribution, transmission power and feedback controller is proposed, which can stabilize the whole set of plants with desired decay rates. The effectiveness of the proposed results is demonstrated by an illustrative example.
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