This paper deals with designing a harvesting control strategy for a predator–prey dynamical system, with parametric uncertainties and exogenous disturbances. A feedback control law for the harvesting rate of the predator is formulated such that the population dynamics is asymptotically stabilized at a positive operating point, while maintaining a positive, steady state harvesting rate. The hierarchical block strict feedback structure of the dynamics is exploited in designing a backstepping control law, based on Lyapunov theory. In order to account for unknown parameters, an adaptive control strategy has been proposed in which the control law depends on an adaptive variable which tracks the unknown parameter. Further, a switching component has been incorporated to robustify the control performance against bounded disturbances. Proofs have been provided to show that the proposed adaptive control strategy ensures asymptotic stability of the dynamics at a desired operating point, as well as exact parameter learning in the disturbance-free case and learning with bounded error in the disturbance prone case. The dynamics, with uncertainty in the death rate of the predator, subjected to a bounded disturbance has been simulated with the proposed control strategy.

中文翻译：

---

基于自适应控制的捕食者-猎物动力系统收获策略

本文涉及为具有参数不确定性和外源干扰的捕食者-猎物动态系统设计收获控制策略。制定了捕食者捕食率的反馈控制律，使得种群动态渐近稳定在正操作点，同时保持正的、稳态的捕捞率。基于李雅普诺夫理论，在设计反步控制律时利用了动力学的分层块严格反馈结构。为了考虑未知参数，已经提出了一种自适应控制策略，其中控制律取决于跟踪未知参数的自适应变量。此外，还引入了一个开关组件，以增强控制性能，防止有界干扰。已提供证据表明，所提出的自适应控制策略可确保在所需操作点上动力学的渐近稳定性，以及在无干扰情况下的精确参数学习和在易受干扰的情况下进行有界误差学习。动态，在捕食者死亡率的不确定性下，受到有界干扰的影响已经用所提出的控制策略进行了模拟。