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Event-based biological pest control: An LMI approach.

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  • 1Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu 603203, India.

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|November 3, 2024
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Summary

This study introduces an event-triggered control strategy to manage sugarcane borer (Diatraea saccharalis) populations by optimizing natural enemy interactions. The approach ensures system stability while minimizing control actions and preserving beneficial insect introductions.

Keywords:
Biological controlEgg parasitoidEvent-triggered controlMathematical modelingSugarcane borer

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Area of Science:

  • Agricultural Entomology
  • Control Systems Engineering
  • Mathematical Biology

Background:

  • Pest management in sugarcane relies on understanding insect population dynamics.
  • Biological control agents like Trichogramma galloi and Cotesia flavipes are crucial for sustainable pest control.
  • Effective control strategies are needed to manage sugarcane borer (Diatraea saccharalis) populations.

Purpose of the Study:

  • To develop an event-triggered reliable state feedback controller for the sugarcane borer system.
  • To minimize the population of natural enemies while ensuring system stability.
  • To reduce control updates and maintain beneficial insect introductions.

Main Methods:

  • Mathematical modeling of insect interactions (sugarcane borer, Trichogramma galloi, Cotesia flavipes).
  • Digital control design and implementation of an event-triggered state feedback controller.
  • Simulation analysis on sugarcane borer systems to validate the control strategy.

Main Results:

  • The proposed event-triggered controller effectively stabilizes the sugarcane borer system.
  • Significant reduction in control updates compared to traditional methods.
  • Successful maintenance of natural enemy populations and their introduction into the environment.

Conclusions:

  • Event-triggered control offers an efficient strategy for managing Diatraea saccharalis.
  • The developed controller enhances pest management sustainability in sugarcane cultivation.
  • This approach balances pest suppression with the preservation of biological control agents.