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Random stabilization of sampled-data control systems with nonuniform sampling

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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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Authors and Affiliations

  1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Bin Tang, Qi-Jie Zeng, De-Feng He & Yun Zhang

Authors
  1. Bin Tang
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  2. Qi-Jie Zeng
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  3. De-Feng He
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  4. Yun Zhang
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Corresponding author

Correspondence to Bin Tang.

Additional information

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).

Bin Tang graduated from Xiangtan University, China in 2001. He received the M. Eng. degree and the Ph.D. degree from Central South University, China in 2004 and 2008, respectively. He is currently an associate professor in the Faculty of Automation, Guangdong University of Technology, China.

His research interests include networked control systems, sampled-data control systems, and delay systems.

Qi-Jie Zeng graduated from South China University of Science and Technology, China in 2000. He received the M. Sc. degree from the South China University of Science and Technology, China in 2003. He is currently a lecturer and a Ph.D. candidate in Department of Automation, Guangdong University of Technology, China.

His research interests include networked control, robotics, neural networks, robust control, and intelligent systems.

De-Feng He graduated from Zhoukou Normal University, China in 2011. He is currently a M.Eng. candidate in the Faculty of Automation, Guangdong University of Technology, China.

His interest is networked control systems.

Yun Zhang graduated from Hunan University, China in 1982. He received the M. Sc. degree from Hunan University, China in 1986 and the Ph.D. degree from South China University of Science and Technology, China in 1998. He is currently a professor in Department of Automation, Guangdong University of Technology, China.

His research interests include intelligent control systems, network systems, and signal processing.

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Tang, B., Zeng, QJ., He, DF. et al. Random stabilization of sampled-data control systems with nonuniform sampling. Int. J. Autom. Comput. 9, 492–500 (2012). https://doi.org/10.1007/s11633-012-0672-y

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  • DOI: https://doi.org/10.1007/s11633-012-0672-y

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