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Network-based simultaneous H ∞ stabilization for chemical reaction systems with multiple packet dropouts

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  • Control Theory and Applications
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Abstract

In this paper, we study a novel control problem for network-based chemical reaction systems by virtue of a simultaneous H ∞ stabilization methodology. In the presence of multiple packet dropouts, a finite collection of stochastic parameter subsystems are extended to describe the networked control system (NCS). A single remote network-based controller is designed to simultaneously stabilize the multiple stochastic parameter subsystems in the sense of mean square and capture the H ∞ control performance. Based on an orthogonal complement space technique, a novel matrix inequality framework is established, where the controller gain is parametrized by the introduction of a common free positive definite matrix, which is independent of the multiple Lyapunov matrices. Furthermore, an iterative linear matrix inequality (ILMI) algorithm is developed to deal with the proposed framework. Simulation results of a typical network-based chemical reaction system are provided to illustrate the effectiveness of the proposed scheme.

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Author information

Authors and Affiliations

  1. School of Information Science and Engineering, East China University of Science and Technology, Shanghai, 200237, China

    Yanfei Zhu

  2. Griffith School of Engineering, Griffith University, Gold Coast, QLD 4222, Australia

    Fuwen Yang

Authors
  1. Yanfei Zhu
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Corresponding author

Correspondence to Fuwen Yang.

Additional information

Recommended by Associate Editor Huaping Liu under the direction of Editor Fuchun Sun. This work is supported by the National Natural Science Foundation of China (61174064), the National Basic Research Program of China (973 Program) (2012CB720502), and the Australian Research Council Discovery Project (DP160103567).

Yanfei Zhu received his B.Sc. degree in Measurement and Control Technology and Instrumentation from East China University of Science and Technology, China, in 2011. He is now pursuing a Ph.D. degree in Control Science and Engineering from East China University of Science and Technology, China. His research interests include robust control, nonlinear systems, and networked control systems.

Fuwen Yang received the Ph.D. degree in Control Engineering from Huazhong University of Science and Technology, China, in 1990. He was a Research Fellow with Brunel University, U.K., and King’s College London, U.K., a Professor with Fuzhou University, China, and East China University of Science and Technology, China, and an Associate Professor with Central Queensland University, Australia. He is currently an Associate Professor with Griffith University, Australia. His current research interests include networked control systems, distributed filtering and sensing, reliable fault detection and diagnosis, distributed control and filtering for smart girds.

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Zhu, Y., Yang, F. Network-based simultaneous H ∞ stabilization for chemical reaction systems with multiple packet dropouts. Int. J. Control Autom. Syst. 15, 104–112 (2017). https://doi.org/10.1007/s12555-015-0094-z

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  • DOI: https://doi.org/10.1007/s12555-015-0094-z

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