Brief paper: Control system design subject to SNR constraints

Authors:
Eduardo I. Silva;Graham C. Goodwin;Daniel E. Quevedo
Affiliations:
Departamento de Electrónica, Universidad Técnica Federico Santa María, Valparaíso, Chile;School of Electrical Engineering and Computer Science, The University of Newcastle, Australia;School of Electrical Engineering and Computer Science, The University of Newcastle, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

This paper deals with networked control systems comprising LTI plants controlled over scalar additive noise channels subject to signal-to-noise ratio (SNR) constraints. We present a general framework, based upon convex optimization concepts, that can accommodate several situations of interest. Our results make explicit the fact that exploiting feedback around the channel plays a key role in reducing the minimal SNR that is compatible with stability. The results also provide a characterization of the best achievable performance subject to an SNR constraint. We apply the results to specific networked control architectures, and provide a numerical example.