Random stabilization of sampled-data control systems with nonuniform sampling |
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Authors: | Bin Tang Qi-Jie Zeng De-Feng He Yun Zhang |
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Affiliation: | 1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China
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Abstract: | For a sampled-data control system with nonuniform sampling, the sampling interval sequence, which is continuously distributed in a given interval, is described as a multiple independent and identically distributed (i.i.d.) process. With this process, the closed-loop system is transformed into an asynchronous dynamical impulsive model with input delays. Sufficient conditions for the closed-loop mean-square exponential stability are presented in terms of linear matrix inequalities (LMIs), in which the relation between the nonuniform sampling and the mean-square exponential stability of the closed-loop system is explicitly established. Based on the stability conditions, the controller design method is given, which is further formulated as a convex optimization problem with LMI constraints. Numerical examples and experiment results are given to show the effectiveness and the advantages of the theoretical results. |
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Keywords: | Sampled-data control system nonuniform sampling independent and identically distributed (i i d process mean-square exponential stability controller design |
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