Journal of Mathematical Chemistry

, Volume 38, Issue 4, pp 467–487 | Cite as

Parametric Optimization of Digitally Controlled Nonlinear Reactor Dynamics using Zubov-like Functional Equations

  • Nguyen Huynh
  • Nikolaos Kazantzis


The present work aims at the development of a systematic method to optimally choose the parameters of digitally controlled nonlinear reactor dynamics. In addition to traditional performance requirements for the controlled reactor dynamics such as stability, fast and smooth regulation, disturbance rejection, etc., optimality is requested with respect to a physically meaningful performance. The value of the performance index is analytically calculated via the solution of a Zubov-like functional equation and becomes explicitly parameterized by the digital controller parameters. A standard static optimization algorithm yields subsequently the optimal values of the above parameters. Within the proposed framework, stability region estimates are also provided through the solution of the above functional equation. Finally, a nonlinear chemical reactor example following Van de Vusse kinetics is used in order to illustrate the proposed parametric optimization method.


chemical reaction system dynamics nonlinear dynamics parametric optimization functional equations Lyapunov stability 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Chemical EngineeringWorcester Polytechnic InstituteWorcesterUSA

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