摘要
针对具有Allee效应和恐惧效应捕食模型种群间的种群密度问题和稳定性问题,结合T-S模糊系统理论和种群捕食特性提出一类具有不确定参数的阶段结构捕食模型.采用T-S模糊系统和滑模控制的方法,在对模糊积分滑模面进行设计的同时,对滑模控制器的原理进行了研究.研究结果显示系统提供了全局稳定性的充分条件,能在有限时间内将状态轨迹驱动到积分滑动面上.数值仿真验证了理论推导的有效性,研究结论拓展了模糊滑模控制器的设计和分析,有助于生态种群稳定的有效调控.
Aiming at the issues of interspecific population density and stability in predator-prey models with the Allee effect and fear effect,a class of stage-structured predator-prey models with uncertain pa-rameters is proposed by combining T-S fuzzy system theory and population predation characteristics.By adopting the T-S fuzzy system and sliding mode control method,the design of the fuzzy integral sliding mode surface is conducted,and the principle of the sliding mode controller is simultaneously investigated.The research results provide sufficient conditions for the system to achieve global stability and enable the state trajectory to be driven onto the integral sliding mode surface in finite time.Numerical simulations verify the validity of the theoretical derivation.The findings extend the design and analysis of fuzzy sliding mode controllers and contribute to the effective regulation of ecological population stability.
作者
赵文静
张翼
ZHAO Wenjing;ZHANG Yi(School of Science,Shenyang University of Technology,Shenyang 110870,China)
出处
《沈阳化工大学学报》
2025年第4期428-435,共8页
Journal of Shenyang University of Chemical Technology
基金
国家自然科学基金项目(62403423)。
