The purpose of this paper is to demonstrate that a unified study of quantization and delay effects in nonlinear control systems is possible by merging the quantized feedback control methodology recently developed by the author and the small-gain approach to the analysis of functional differential equations with disturbances proposed earlier by Teel. We prove that under the action of a robustly stabilizing feedback controller in the presence of quantization and sufficiently small delays, solutions of the closed-loop system starting in a given region remain bounded and eventually enter a smaller region. We present several versions of this result and show how it enables global asymptotic stabilization via a dynamic quantization strategy.
CITATION STYLE
Liberzon, D. (2005). On quantization and delay effects in nonlinear control systems. In Lecture Notes in Control and Information Sciences (Vol. 331, pp. 219–229). Springer Verlag. https://doi.org/10.1007/11533382_15
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