Model predictive control with sequential linearization approach for a nonlinear time varying biological system

As life science progress and its consequences provide human life necessities, controlling these kinds of processes has recently become very important. Unfortunately because of including delay and nonlinear behavior of micro-organisms these processes have nonlinear time varying model and so controlling them is too complicated. These nonlinear dynamics are too slow and so it is possible to linearize the model step by step and apply control signal to the local linearized models. In this paper we design a model predictive controller for each linearized model at time unit and as a result a nonlinear time varying system has been controlled properly. As these localized models are open loop unstable, we have to use close loop paradigm also due to its numerically robustness. Finally result has validated with experimental values and reliability of this approach has been exposed.