Optimizationbased design of plantfriendly multis

Authors: Hans D Mittelmann Gautam Pendse Daniel E Rivera Hyunjin Lee

Publish Date: 2007/05/17

Volume: 38, Issue: 1, Pages: 173-190

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Abstract

System identification is an important means for obtaining dynamical models for process control applications experimental testing represents the most timeconsuming step in this task The design of constrained “plantfriendly” multisine input signals that optimize a geometric discrepancy criterion arising from Weyl’s Theorem is examined in this paper Such signals are meaningful for datacentric estimation methods where uniform coverage of the output statespace is critical The usefulness of this problem formulation is demonstrated by applying it to a linear problem example and to the nonlinear highly interactive distillation column model developed by Weischedel and McAvoy The optimization problem includes a search for both the Fourier coefficients and phases in the multisine signal resulting in an uniformly distributed output signal displaying a desirable balance between high and low gain directions The solution involves very little user intervention which enhances its practical usefulness and has great benefits compared to multisine signals that minimize crest factor The constrained nonlinear optimization problems that are solved represent challenges even for highperformance optimization software

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