Randomized algorithms for quadratic stability of quantized sampled-data systems

Authors:
Hideaki Ishii;Tamer BaşAr;Roberto Tempo
Affiliations:
Coordinated Science Laboratory, University of Illinois, 1308 West Main Street, Urbana, IL 61801, USA;Coordinated Science Laboratory, University of Illinois, 1308 West Main Street, Urbana, IL 61801, USA;IEIIT-CNR, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

In this paper, we present a novel development of randomized algorithms for quadratic stability analysis of sampled-data systems with memoryless quantizers. The specific randomized algorithm employed generates a quadratic Lyapunov function and leads to realistic bounds on the performance of such systems. A key feature of this method is that the characteristics of quantizers are exploited to make the algorithm computationally efficient.