Real-Time Optimization of DAE Systems

  • Christof Büskens
  • Matthias Gerdts


We consider approaches for real-time optimization of dynamical systems governed by differential-algebraic (DAE) systems. Special attention is turned on the calculation of consistent initial values such that the DAE system is solvable.

The underlying DAE optimal control problem is solved numerically by a direct single shooting method. This method reduces the infinite dimensional optimal control problem by discretization of the control over a suitable chosen grid to a finite dimensional optimization problem.

A real-time optimization method is achieved by performing a parameter sensitivity analysis of the discretized optimal control problem, taking the calculation of consistent initial values into account.

A high dimensional and highly nonlinear example of a car’s jink is discussed to demonstrate the capabilities of the proposed methods.


Optimal Control Problem Tyre Force Steer Wheel Angle Discretized Optimal Control Problem Hide Constraint 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Christof Büskens
    • 1
  • Matthias Gerdts
    • 2
  1. 1.Lehrstuhl für IngenieurmathematikUniversität BayreuthGermany
  2. 2.Lehrstuhl für Angewandte MathematikUniversität BayreuthGermany

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