Smooth sliding-mode observers for specific growth rate and substrate from biomass measurement |
| |
Authors: | Jesús Picó Hernán De Battista Fabricio Garelli |
| |
Affiliation: | 1. Department of System Engineering and Control, Technical University of Valencia, Spain;2. Faculty of Engineering, National University of La Plata (UNLP) and CONICET, Argentina;1. Koc University, Istanbul, Turkey;2. Middle East Technical University, Ankara, Turkey;3. Carnegie Mellon University, Pittsburgh, PA, USA;4. University of Maryland |
| |
Abstract: | This paper addresses the estimation of specific growth rate and substrate concentration from biomass measurements in fermentation processes. Specifically, sliding-mode observers are proposed, for which finite-time global convergence is demonstrated using Lyapunov stability theory and concepts of variable structure systems. Two observers are developed for specific growth rate estimation, one producing a discontinuous estimation which is used afterwards for substrate estimation, and the other one – based on high-gain observers – that generates a smooth estimation with first-order dynamics and finite-time bounded convergence error. In the case of substrate estimation, an observer that increases the convergence rate to a vicinity of the real substrate concentration while achieving asymptotic convergence despite kinetic model uncertainties in properly excited processes is designed. This observer also exhibits first-order dynamics. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|