Robust impulsive observer design for infinite?dimensional cell population balance models

The observer design problem for a class of cell population balance models, describing the time evolution mass density distribution function and substrate concentration in continuous-stirred tank bioreactor with irregular discrete-time measurements is considered. model consists partial integro-differential equation coupled an ordinary differential equation. Using theory impulsive systems sufficient conditions input-to-state-stability (ISS) observation error state-space respect to measurement uncertainty are derived terms maximum between successive ISS gain. In absence convergence imply exponential stability dynamics. Besides these rigorous conditions, application-oriented tuning guidelines established. theoretical results illustrated numerical simulations including comparison continuous–discrete extended Kalman filter based on approximation, showing that similar accuracy achieved when using finite-dimensional approximation proposed scheme considerably lower computational effort.