Optimal Simulation for Large Dynamic Systems
Like most engineering design problems, simulation design for large dynamic systems should seek a trade- o® between performance and cost. Here the perfor- mance is de¯ned by simulation accuracy; and the cost is related to computational resource, measured by the total wordlength. The simulation accuracy depends on model complexity, model realization and computational implementation. The optimal simula- tion problem is to determine all these factors to en- sure desired accuracy with available computational resource. When computational cost is the primary concern, one can minimize the computational re- source with simulation accuracy constraint. We de- ¯ne the economical simulation problem (ESP) as de- signing the simulation of a stable linear system and distributing computational resources (wordlength) among the digital devices such that the computa- tional cost(memory) is minimized without violat- ing the required simulation accuracy. This problem is generally not convex because of the scaling con- straint. By exploring the special structure of this joint optimization of the choice of the realizations and the computational resources to be applied, and under a scaling assumption, the ESP is converted to a convex problem. Numerical results are given which compare this method with existing approaches.
Pietro VINCENZINI and Fabio CASCIATI
R. E. Skelton et al., "Optimal Simulation for Large Dynamic Systems", Advances in Science and Technology, Vol. 56, pp. 147-153, 2008