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Adaptive Fault-tolerant Control of Alien Species Invasion Based on Sliding Mode

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  • Control Theory and Applications
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Abstract

This paper studies the adaptive fault-tolerant control problem for biological systems with the invasion of alien species. Firstly, to overcome the difficulty of dealing with nonlinear terms in the system, the T-S fuzzy method is applied to obtain the T-S fuzzy biological systems. Then, an augmented matrix is developed for the T-S fuzzy system, and a sliding mode observer is constructed to estimate the state vector, sensor faults, sensor failure and external disturbances. In addition, an observer-based adaptive sliding-mode control law is designed to ensure the stability of the closed-loop biological system. Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Science, Shenyang University of Technology, Shenyang, 110870, China

    Jiawen Li, Yi Zhang & Yingying Nie

  2. Station for Drug and Instrument Control of Shenyang Joint Logistics Support Center, Shenyang, 110026, China

    Song Yang

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  1. Jiawen Li
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  2. Yi Zhang
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  3. Yingying Nie
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  4. Song Yang
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Corresponding author

Correspondence to Yi Zhang.

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This work is supported by National Natural Science Foundation of China under Grant 61673099.

Jiawen Li received her B.S. degree in mathematics from Shenyang University of Technology, Shenyang, China, in 2016, where she is currently a graduate researcher in mathematics at the same university. Her current research interests include singular systems, nonlinear systems, multi-agent systems, and distributed control and optimization.

Yi Zhang received her B.S. degree in mathematics from Beijing Normal University, Beijing, China, in 1993, and an M.S. degree in mathematics and a Ph.D. degree in complexity theory of system from Northeastern University, Shenyang, China, in 2006 and 2013, respectively. She is currently a Professor with the School of Science, Shenyang University of Technology. Her research interests include T-S fuzzy systems, sliding mode control, bifurcations, chaos and control in biological systems, and singular systems.

Yingying Nie received her B.S. degree in applied mathematics from Dezhou University, China, in 2019. She is currently pursuing an M.S. degree at Shenyang University of Technology. Her current research interests include descriptor systems, T-S fuzzy model, and control in biological systems.

Song Yang received her B.S. degree in pharmaceutical analysis and an M.S. degree in pharmaceutical analysis from Shenyang Pharmaceutical University, China, in 1993 and 2002, respectively. Her research interest is biological immune system.

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Li, J., Zhang, Y., Nie, Y. et al. Adaptive Fault-tolerant Control of Alien Species Invasion Based on Sliding Mode. Int. J. Control Autom. Syst. 21, 3872–3882 (2023). https://doi.org/10.1007/s12555-022-0369-0

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  • DOI: https://doi.org/10.1007/s12555-022-0369-0

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