Stabilization of two-input two-output systems over SNR-constrained channels |
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Authors: | Francisco J Vargas Eduardo I Silva Jie Chen |
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Affiliation: | 1. Departamento de Electrónica, Universidad Técnica Federico Santa María, Valparaíso, Chile;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China |
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Abstract: | This paper concerns the stabilization of discrete-time two-input two-output (TITO) linear time-invariant (LTI) systems over communication channels. We consider parallel additive white noise (AWN) channels, in which each individual channel is independently constrained in the signal-to-noise ratio (SNR). Necessary and sufficient conditions for stabilizability are obtained on the SNRs of the channels for both state and output feedback architectures. Our main results are derived assuming that the channel is located between the controller and the plant. We also consider stabilizability when the channel is between the plant and the controller, showing that there exists a duality between the results for both architectures. |
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Keywords: | Networked control systems Additive white noise channel Mean-square stabilization Signal-to-noise ratio constraints |
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