Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 502
Multi-objective Optimal Feedback Control in Biological Wastewater Treatment
Hicham Hakimi, Mustapha Serhani, Nadia Raissi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 05, 2022
March 03, 2413
April 15, 2413

Abstract: In this paper we propose a nonlinear mathematical model describing the process of biodegradation of organic pollutants by means of fungi. Several works were interested by this problem with open loop control. In this work, we try to find a strategy for wastewater station using multi-objective optimal control involving feedback control depending on the pollutant state variable. Two aspects are investigated, firstly we study the existence of solution of the dynamic with feedback control, by invoking the differential inclusion theory. Secondly, we prove that the Pareto front is convex, which ...