Global Observability Analysis of a Growth Model for Insects Farming

TL;DR

This paper analyzes the global observability of a nonlinear model for black soldier fly biomass growth, crucial for implementing effective feedback control in insect farming systems.

Contribution

It provides a mathematical proof of the model's global observability, enabling better control strategies for insect biomass growth.

Findings

The model's global observability is established through an injective transformation.

The study highlights the importance of state observability for feedback control.

It addresses challenges in real-time biomass measurement in insect farming.

Abstract

The Hermetia illucens insects or the black soldier fly has been attracting a growing interest in the food and feed industry. For its high nutritional value on the one hand, and because it is an adequate species for insects in controlled environmental agriculture systems, on the other. Therefore, several models describing this larvae's behaviour have been developed in the literature. Due to the complex nature of living organisms, systems of controlled environment agriculture are characterised by their strong nonlinearities. In this paper, we present a three dimensional nonlinear model describing the black soldier fly dry biomass weight dynamic changes due to the temperature's influence. In practice, this biomass weight is not measured in real time. This becomes problematic for applying feedback control strategies that assume full information of the states. Thus, this work investigates the observability of the dry biomass of a Hermetia illucens farming batch. The instantaneous and global observability of the aforementioned model is proven by constructing an injective transformation between the state space and a higher dimensional space where the transformed states are observable.