Event-based biological pest control: An LMI approach

This study focuses on the event-triggered control approach for the mathematical model describing the interaction between the sugarcane borer (Diatraea saccharalis) and its egg parasitoid Trichogramma galloi, as well as the combined interaction of Trichogramma galloi and Cotesia flavipes. By employing digital control design, an effective strategy can be devised to minimize the population of natural enemies. Therefore, proposing an event-triggered control mechanism for the sugarcane borer is essential. The primary objective of this study is to develop an event-triggered reliable state feedback controller, ensuring that the states of the sugarcane borer system converge to the desired steady-state equilibrium points. Additionally, this control design significantly reduces control updates and maintains the introduction of natural enemies into the environment. Ultimately, simulations are carried out using sugarcane borer systems to demonstrate the benefits and effectiveness of the proposed event-triggered design technique.