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Stabilization of Multi-rate Sampled-data Nonlinear Systems with Quantization

~1Yu Hongwang ~(2,3)Wang Zhiming ~1Zhang Baoshan (1 School of Mathematics and Statistics,Nanjing Audit University,Nanjing 211815; 2 Department of Mathematics,East China Normal University,Shanghai 200241; 3 Center for Applied and Interdisciplinary Mathematics,Department of Mathematics, East China Normal University,Shanghai 200062)  
This paper investigates multi-rate sampled-data stabilization of nonlinear control systems while the sampler produces quantization during sampling.The approximate DTD method is employed to design a(globally) stabilized controller based on the approximate discrete-time models of the nonlinear plant.It is shown that the multi-rate sampled-data nonlinear control systems with quantization are guaranteed to be semi-globally practical asymptotically stable while the approximate error and quantization level are restricted by a certain error condition.A simulation example illustrates the validity of obtained results.
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