Robust optimization of nonlinear dynamic systems with application to a jacketed tubular reactor

Authors

• B. Houska, F. Logist, J. Van Impe, M. Diehl

Reference

• Journal of Process Control,
  Volume 22(6), pages 1152-1160, 2012.

Abstract

We present robust optimization techniques for dynamic systems which are affected by time-varying uncertainties. After reviewing existing techniques from the field of reachability analysis and ellipsoidal calculus, we discuss how to over-estimate the influence of uncertainty in nonlinear dynamic systems. The corresponding strategies lead to a framework which can be used to solve min–max optimal control problems in a conservative approximation. The technique is illustrated by applying it to a robust opti- mal control problem for a nonlinear jacketed tubular reactor. Inside this reactor a highly nonlinear and exothermic chemical reaction takes place which is uncertain due to fouling at the reactor wall. We regard safety constraints on the temperature which must be satisfied for all possible scenarios.

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