Fixed-Time Synergetic Approach for Biological Pest Control Based on Lotka-Volterra Model

Biological pest control has a strong advantage in its non-chemical effects on the environment.
In this study, a xed-time synergetic control scheme for the biological pest control problems represented
by the n-dimensional Lotka-Volterra model was proposed. The proof of stability shows that the proposed
controller can regulate the biological pest control systems with the characteristic of xed-time convergence.
The performance of the proposed scheme was demonstrated through simulation studies. The simulation
results show that the pre-specied bound of the settling time can be satised regardless of the initial
conditions, conrming a desired xed-time convergence characteristic. Moreover, unlike the existing control
policy based on the sliding mode control, the control inputs of the proposed policy are free from chattering.