In this paper, the complex control dynamics of a predator–prey Lotka–Volterra chaotic system are studied. The main purpose is to control the chaotic trajectories of two-predator one-prey system which was introduced by Samardzija and Greller (Bull Math Biol 50(5):465–491. https://doi.org/10.1007/BF02458847, 1988). Lyapunov based nonlinear control and sliding mode control methods are used. The other purpose of this paper is to present the sliding mode control performances under different sliding surface choices. Based on the sliding mode control and Lyapunov stability theory, four alternative sliding surfaces are constructed to stabilize the chaotic two-predator one-prey model to its zero equilibrium point. The focused control signals realize the control from only one state which provides simplicity in implementation. Numerical simulations are demonstrated to validate the theoretical analyses and compare the effectiveness of proposed controllers for the chaotic Samardzija–Greller system.

本文研究了捕食者—食饵Lotka—Volterra混沌系统的复杂控制动力学。主要目的是控制由Samardzija和Greller（Bull Math Biol 50（5）：465-491.https：//doi.org/10.1007/BF02458847，1988年引入）的两个捕食者一猎物系统的混沌轨迹。 ）。使用基于Lyapunov的非线性控制和滑模控制方法。本文的另一个目的是介绍在不同滑动表面选择下的滑模控制性能。基于滑模控制和Lyapunov稳定性理论，构造了四个替代滑动面，以将混沌的两个捕食者一食饵模型稳定到零平衡点。聚焦的控制信号仅从一种状态实现控制，这提供了实现的简便性。