Chemical reactors are often characterized by highly nonlinear behaviour. In such cases, the use of conventional control strategies where controllers have fixed parameters can result in poor performance. Knowledge about the static and dynamic properties is a necessary condition for the design of a controller. Unfortunately, measurements on the real system are not always feasible. The only way as to how to obtain static and dynamic behaviour of these systems is through the use of simulations, i.e. experiments on their mathematical model. Steady-state analysis shows the behaviour of the system in the steady state, which can help with the choice of the optimal working point, i.e. the appropriate combination of the input variables, which results in maximal production with minimal cost. On the other hand, the dynamic analysis results in the suitable control strategy. The adaptive approach in this work uses the recursive identification and the polynomial synthesis with the pole-placement method.
Abstract. The contribution is focused on the adaptive control of the nonlinear system represented by the continuous stirred-tank reactor with the spiral cooling in the jacket. The mathematical model of this reactor is described by two nonlinear ordinary differential equations which were solved numerically. The adaptive controller is based on the choice of the external linear delta model of the originally nonlinear process, parameters of which are identified recursively and parameters of the controller are recomputed too. The structure of the controller was constructed with the use polynomial synthesis together with linear-quadratic approach. The resulted controller fulfills basic control requirements and it can be used for system with negative control properties. All experiments were made by simulations in the MATLAB environment.
Simulation is very important and popular tool nowadays, when computation speed of computers increases exponentially every day. Simulations on mathematical models has several advantages over the experiment on a real model or system. It is save, cheaper and less time demanging. This paper delas with basic simulation studies on of the common used devices in chemical industry -Continuous Stirred Tank Reactor (CSTR). The mathematical model is developed from material balances. Numerical mathematics is used for steady-state analysis and dynamic analysis. Simulation results are used for choosing of an optimal working point and an external linear model of this nonlinear plant.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.