Feedback Stabilization of Networked Systems over Fading Channels with Resource Allocation

Abstract In this paper, we consider the stabilization problems for networked control systems (NCSs) over parallel independent communication channels, wherein each channel is modeled as a general fading channel, i.e., a combination of multiplicative noise and additive noise. A channel capacity notion is introduced for such general fading channels to represent their capabilities of information transmission. A necessary and sufficient condition for closed-loop stabilization with stationary signal-to-noise ratio (SNR) constraints is established which builds a bridge between the channel capacities and the topological entropy of the open-loop plant. When the condition holds, a channel-controller co-design approach is proposed to accomplish the stabilization. Finally, a numerical example is presented to verify the effectiveness of our results.

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