Positive Stabilization of a Class of Infinite-Dimensional Positive Systems

2017 ◽  
pp. 191-200
Author(s):  
M. Elarbi Achhab ◽  
Joseph J. Winkin
Keyword(s):  
Positive Systems ◽  
Infinite Dimensional

Positive observers for linear positive systems in a Hilbert lattice space

2020 ◽  
Author(s):  
Abdellaziz Binid ◽  
Mohammed Elarbi Achhab ◽  
Mohamed Laabissi
Keyword(s):  
Plug Flow ◽  
The State ◽  
Observer Design ◽  
Positive Systems ◽  
Reactor Model ◽  
Infinite Dimensional ◽  
Bounded Perturbation ◽  
Lattice Space ◽  
Hilbert Lattice ◽  
Positive Observer

Abstract In this work, we investigate the question of designing a positive observer for a class of infinite dimensional linear positive systems. We present a new observer design based on a classical Luenberger-like observer. The proposed observer is positive. That is, it ensures that the state estimates are nonnegative at any time. The existence of such positive observers is proven by a specific choice of the observer gain and using positive bounded perturbation results. We show in particular that the error of the state estimation converges exponentially to zero. Finally, the main result is applied to an isothermal tubular (bio) reactor model, namely the plug-flow (bio) reactor model. The approach is illustrated by some numerical simulations.

Infinite Dimensional Analysis

1994 ◽  
Author(s):  
Charalambos D. Aliprantis ◽  
Kim C. Border
Keyword(s):  
Dimensional Analysis ◽  
Infinite Dimensional ◽  
Infinite Dimensional Analysis
Sign in / Sign up

Export Citation Format

Share Document