The monotonic convergence of the PD α-type fractional-order iterative learning control
algorithm is considered for a class of fractional-order linear systems. First, a theoretical …

This research introduces a fractional high-order sliding mode control (FHOSMC) method that
utilises an inverse integral fractional order, 0< β< 1, as the high order on the FHOSMC …

Microalgae are used to produce renewable biofuels and high-value components and in
bioremediation and CO2 sequestration tasks. These increasing applications, in conjunction …

This article addresses the problem of controlling the growth of microalgae originating in
Mexican rivers, especially in the state of Sinaloa, Culiacan River. For this purpose, a robust …

In this article, the theory of fractional control and state estimation applied to biological
science is studied, particularly in hybrid wastewater treatment. For nonlinear systems with …

The deterioration of current environmental water sources has led to the need to find ways to
monitor water quality conditions. In this paper, we propose the use of Streeter–Phelps …

Microorganism culture is highly complex due to the different metabolic pathways, which are
very complex. A metabolic phenomenon called overflow is a challenge to overcome in …

The concept of Adaptive Control can be traced back to the early fifties and it can be
understood as the control of systems partially known. All natural and artificial dynamical …

The basic characteristic of batch bioreactors is their inability to inflow or outflow the
substances during the fermentation process. This follows in the simple construction and …

In this paper we discuss a Lipschitz observer for a nonlinear system, using the Luenberger-
type observer as a basis. The nonlinearities were addressed using linear matrix inequalities …