H2 and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
SIAM Journal on Control and Optimization
Brief paper: Interval observer design for consistency checks of nonlinear continuous-time systems
Automatica (Journal of IFAC)
Brief paper: Interval observers for linear time-invariant systems with disturbances
Automatica (Journal of IFAC)
Exponentially Stable Interval Observers for Linear Systems with Delay
SIAM Journal on Control and Optimization
Interval estimation for LPV systems applying high order sliding mode techniques
Automatica (Journal of IFAC)
Interval state observer for nonlinear time varying systems
Automatica (Journal of IFAC)
Robust interval observers and stabilization design for discrete-time systems with input and output
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper we design an interval observer for the estimation of unmeasured variables of uncertain bioreactors. The observer is based on a bounded error observer, as proposed in [Lemesle, V., & Gouze, J.-L. (2005). Hybrid bounded error observers for uncertain bioreactor models. Bioprocess and Biosystems Engineering, 27, 311-318], that makes use of a loose approximation of the bacterial kinetics. We first show how to generate guaranteed upper and lower bounds on the state, provided that known intervals for the initial condition and the uncertainties are available. These so-called framers depend on a tuning gain. They can be run in parallel and the envelope provides the best estimate. An optimality criterion is introduced leading to the definition of an optimal observer. We show that this criterion provides directly a gain set containing the best framers. The method is applied to the estimation of the total biomass of an industrial wastewater treatment plant, demonstrating its efficiency.