Adaptive fuzzy control for stochastic biological system with alien species invasion
ZHANG Yi
SU Xiaotian
JIN Zhenghong
Abstract：[Objective]Alien species invasion has emerged as a global ecological security problem.The resulting biodiversity loss and ecosystem degradation pose a serious threat to the sustainable development of human society.Traditional biological control methods often suffer from limited control accuracy and poor robustness when faced with environmental uncertainties and random disturbances.To address the dynamic characteristics of the stochastic biological system,this study proposed an adaptive fuzzy control(AFC)strategy based on Lyapunov stability theory.By building a stochastic dynamic model incorporating white noise disturbances and unknown nonlinearities,the study focused on solving the dual-objective problem of coordinated native species protection and invasive species suppression under coupled environmental uncertainty and stochastic perturbations.[Methods]Based on stochastic differential equation theory,a stochastic biological system dynamics model for alien species invasion was constructed.A fuzzy logic system(FLS)was employed to approximate the uncertain nonlinear term in the model.The backstepping method was integrated with adaptive fuzzy control and applied to stochastic biological systems.A fuzzy backstepping controller and an adaptive law with parameter self-tuning capabilities were designed using an appropriately chosen Lyapunov function.[Results]The proposed adaptive controller exhibits intelligent adjustment capabilities,allowing the population density of native species to effectively track the desired reference trajectory within a finite time.The tracking error converges to a neighborhood of zero,demonstrating the controller's ability to monitor and analyze errors in real time.By dynamically adjusting control inputs,the system keeps tracking errors within acceptable bounds.Moreover,all system states under alien species invasion are proven to be semi-globally uniform and ultimately bounded.Notably,the system also maintains stable convergence characteristics and demonstrates strong adaptability under varying intensities of stochastic disturbance.[Conclusions]By combining FLS with nonlinear control theory,the proposed AFC strategy effectively addresses uncertainty control in stochastic biological systems.Numerical simulations further verify the strategy's effectiveness in both protecting native species and managing invasive species,offering novel insights for intelligent regulation of complex ecosystems.
Keywords：alien speciesbiological systemadaptive fuzzy controlstochastic systemfuzzy logic systembackstepping methodtracking controlwhite noise
Publication Date：2025-11-25
Online Publishing Date：2025-12-29(First online date of this platform, not the publication date of the document)
Pages：9( 783-791 )