T-S fuzzy observer-based adaptive tracking control for biological system with stage structure

Yi Zhang; Yue Song; Song Yang; Yi Zhang; Yue Song; Song Yang

doi:10.3934/mbe.2022451

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 10: 9709-9729. doi: 10.3934/mbe.2022451

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T-S fuzzy observer-based adaptive tracking control for biological system with stage structure

1.
School of Science, Shenyang University of Technology, Shenyang 110870, China
2.
Station for Drug and Instrument Control of Shenyang Joint Logistics Support Center, Shenyang 110026, China
Academic editor: Yanping Ma

Received: 09 March 2022 Revised: 21 May 2022 Accepted: 06 June 2022 Published: 04 July 2022

In this paper, the T-S fuzzy observer-based adaptive tracking control of the biological system with stage structure is studied. First, a biological model with stage structure is established, and its stability at the equilibrium points is analyzed. Considering the impact of reducing human activities on the biological population, an adaptive controller is applied to the system. Since it is difficult to measure density directly, a fuzzy state observer is designed, which is used to estimate the density of biological population. At the same time, the density of predators can track the desired density through the adjustment of adaptive controller. The stability of the biological system is guaranteed, and the observer error and tracking error are shown to converge to zero. Finally, the effectiveness of the proposed adaptive control method is verified by numerical simulation.
- stage structure,
- adaptive control,
- tracking control,
- T-S fuzzy,
- fuzzy state observer,
- biological system
Citation: Yi Zhang, Yue Song, Song Yang. T-S fuzzy observer-based adaptive tracking control for biological system with stage structure[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 9709-9729. doi: 10.3934/mbe.2022451

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Abstract

In this paper, the T-S fuzzy observer-based adaptive tracking control of the biological system with stage structure is studied. First, a biological model with stage structure is established, and its stability at the equilibrium points is analyzed. Considering the impact of reducing human activities on the biological population, an adaptive controller is applied to the system. Since it is difficult to measure density directly, a fuzzy state observer is designed, which is used to estimate the density of biological population. At the same time, the density of predators can track the desired density through the adjustment of adaptive controller. The stability of the biological system is guaranteed, and the observer error and tracking error are shown to converge to zero. Finally, the effectiveness of the proposed adaptive control method is verified by numerical simulation.

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