Robust constrained MPC stabilization of a CSTR
Juraj Oravec *, Monika Bakošová
Slovak University of Technology in Bratislava, Faculty of Chemical and Food Technology, Institute of Information Engineering, Automation, and Mathematics, Radlinského 9, 812 37 Bratislava, Slovak Republic
E-mail: * juraj.oravec@stuba.sk
Abstract: The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained input variables. One exothermic reaction runs in the reaction mixture and the reactor is modelled in the form of an uncertain polytopic system. The control approach is based on solution of a set of linear matrix inequalities. This formulation enables to use convex optimization methods to design a gain matrix of a state feedback controller in each control step. The task of stabilization is solved in assumed control conditions with respect to symmetric constraints on control inputs. The control performance achieved by robust constrained model-based predictive control is studied via simulations. Obtained results confirm that the robust constrained model-based predictive control ensures the stability demands and the quality requirements represented by chosen quadratic cost function.
Keywords: chemical reactor, constrained input, linear matrix inequality, parametric uncertainty, robust MPC
Full paper in Portable Document Format: acs_0123.pdf
Acta Chimica Slovaca, Vol. 5, No. 2, 2012, pp. 153—158