Gain scheduling is a method widely applied in industrial practice to control processes where large changes of the operating conditions can occur. In its standard implementation, this technique requires to compute a family of steady states covering the operating region of interest and then to design a family of linear feedback controllers ensuring stability and desired output behavior about the selected steady states. In this contribution, a novel approach to design gain-scheduled controllers of nonlinear processes is presented. Parametric continuation and optimization techniques are implemented to compute a parameterized family of steady states covering the output range of interest and, at the same time, fulfilling a prescribed set of control requirements. Then, bifurcation analysis is performed to design a family of linear feedback controllers guaranteeing desired output behavior around the selected steady states and preventing the occurrence of state multiplicity. The method is validated on the problem of controlling a continuous exothermic reactor exhibiting state and input multiplicity. © 2010 Elsevier B.V. All rights reserved.
A nonlinear approach to the design of gain-scheduled controllers / Altimari, Pietro; Erasmo, Mancusi; Lucia, Russo; Crescitelli, Silvestro. - STAMPA. - 28:C(2010), pp. 595-600. ((Intervento presentato al convegno 20th European Symposium on Computer Aided Process Engineering [10.1016/s1570-7946(10)28100-2].