Volume 9 Number 5
October 2012
Article Contents
Bin Tang, Qi-Jie Zeng, De-Feng He and Yun Zhang. Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling. International Journal of Automation and Computing, vol. 9, no. 5, pp. 492-500, 2012. doi: 10.1007/s11633-012-0672-y
Cite as: Bin Tang, Qi-Jie Zeng, De-Feng He and Yun Zhang. Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling. International Journal of Automation and Computing, vol. 9, no. 5, pp. 492-500, 2012. doi: 10.1007/s11633-012-0672-y

Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling

Author Biography:
  • Corresponding author: Bin Tang
  • Received: 2011-08-02
Fund Project:

This work was supported by National Natural Science Foundation of China (Nos.61104105, U0735003 and 60974047) and Natural Science Foundation of Guangdong Province of China (No. 9451009001002702).

通讯作者: 陈斌, bchen63@163.com
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Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling

    Corresponding author: Bin Tang
Fund Project:

This work was supported by National Natural Science Foundation of China (Nos.61104105, U0735003 and 60974047) and Natural Science Foundation of Guangdong Province of China (No. 9451009001002702).

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.

Bin Tang, Qi-Jie Zeng, De-Feng He and Yun Zhang. Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling. International Journal of Automation and Computing, vol. 9, no. 5, pp. 492-500, 2012. doi: 10.1007/s11633-012-0672-y
Citation: Bin Tang, Qi-Jie Zeng, De-Feng He and Yun Zhang. Random Stabilization of Sampled-data Control Systems with Nonuniform Sampling. International Journal of Automation and Computing, vol. 9, no. 5, pp. 492-500, 2012. doi: 10.1007/s11633-012-0672-y
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