A robust approach to the design of super-twisting observers – application to monitoring microalgae cultures in photo-bioreactors. (2nd February 2019)

• Record Type: Journal Article
• Authors: Coutinho, D.; Vargas, A.; Feudjio, C.; Benavides, M.; Wouwer, A. Vande
• Is Part Of: Computers & chemical engineering. Volume 121(2019)
• Page Start: 46
• Page End: 56
• Publication Date: 2019-02-02
• Subjects: State estimation -- Sliding mode observers -- LMIs -- Robust control -- Biological systems; Chemical engineering -- Data processing -- Periodicals; 660.0285
• DOI: 10.1016/j.compchemeng.2018.07.006
• Languages: English
• ISSNs: 0098-1354

Abstract

Highlights: A robust design methodology is proposed for tuning the gains of super-twisting observers in a systematic way. A computational algorithm is presented in order to facilitate the application of the design procedure. Two STOS are designed for the substrate uptake rate and the biomass growth rate in microalgae cultures. The internal substrate quota is estimated using an asymptotic observer fusing the STO estimates. The resulting software sensor is tested in the presence of measurement noise and plant model mismatch. Abstract: Super twisting observers (STOs) are particularly useful in situations where the process model is uncertain or in the presence of non measurable perturbations. Despite their increasing popularity, the selection of design parameters is delicate and is usually performed in an ad-hoc fashion. In this study, a robust design procedure is developed based on assumptions related to the boundedness of the uncertainties, and a computational procedure based on semi-definite programming is proposed and tested in simulation. Specifically, this procedure is applied to the design of STOs to monitor the internal substrate quota in cultures of micro-algae in photo-bioreactors, which is a key variable in the Droop model and cannot be measured on-line. Using the measurements of the concentrations of biomass and substrate in the culture medium, a state estimation scheme based on two STOs, one for the cell growth rate and the other for the substrate uptake rate, is therefore developed.