Control for nonlinear system with non-Gaussian noise

Observer based robust H∞ fuzzy tracking control: application to an activated sludge process

“…Since the system states are not fully accessible to measurement a TS fuzzy observer is used to reconstruct all of them. Because of the nonlinear feature of the bioprocesses dynamics and the usually large uncertainty of some parameters, mainly the kinetic terms and the unknown inputs, the implementation of extended different versions of observers are very promising and have proved to be very successful in several applications e.g., Kalman filter to deal with Gaussian disturbances (Zeng et al, 2016;Silva et al, 2019) observer based on H ∞ technique (Katebi, 2001), the minimum entropy filtering method for non-Gaussian disturbances cases (Zhang, Chen & Yu, 2017). The main contribution of this article can be outlined as follows: we propose to split the TS system into two subsystems, one of which involves the part of the state variables to be controlled.…”