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Proceedings Paper

A first example in economic simulation design
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Paper Abstract

The economic simulation design problem is that given performance requirements, design the simulation of a linear system and distribute precision among the instruments such that the computational cost is minimized without violating the simulation accuracy. In this paper, we consider the simulation of a large-scale linear system in digital devices with fixed-point arithmetic and finite wordlength. Given the output variance upperbound, we focus on finding an optimal realization and the allocation of wordlength among A/D converter, computer and sensors. This problem is in general not convex because of the scaling constraint. By exploring the special structure of this joint optimization problem and under reasonable assumptions, we simplify this problem and find the optimal coordinate transformation and the wordlength allocation scheme simultaneously by solving LMIs (linear matrix inequalities). Numerical results are given which compare this new realization with the balanced realization and random realizations.

Paper Details

Date Published: 1 August 2003
PDF: 10 pages
Proc. SPIE 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, (1 August 2003); doi: 10.1117/12.482840
Show Author Affiliations
Faming Li, Univ. of California, San Diego (United States)
Robert E. Skelton, Univ. of California, San Diego (United States)

Published in SPIE Proceedings Vol. 5049:
Smart Structures and Materials 2003: Modeling, Signal Processing, and Control
Ralph C. Smith, Editor(s)

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