Stability of Optimal Solutions: Multi- and Single-Objective Approaches

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April 3rd, 2007
Last modified on February 22nd, 2021 at 15:27

This paper deals with assessing stability of optimal solutions. Two ways are considered: introducing stochastic stability based on Lyapunov’s stability as constraints in a singleobjective optimization problem and using it as a second objective. The problem from the field of wind energy is taken – optimization of electricity production with a novel wind power concept called Laddermill. Due to the multi-objectiveness of the second approach both problems are programmed with an algorithm based on a modification of Pareto-optimization. The main conclusion is that multi-objectiveness makes problem statement more transparent and also easier to implement and faster to compute which makes multi-objective formulation desirable for the class of robust optimal control problems.

1st IEEE Symposium on Computational Intelligence in Multicriteria Decision Making (MCDM 2007), Honolulu, HI, USA, 1-5 April 2007.

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