Performance analysis for uncertain multivariable systems obtained by system identification

Arash Sadeghzadeh

International Journal of Systems Science, 2014, vol. 45, issue 3, 547-555

Abstract: This article provides a framework for robust performance analysis of linear time-invariant uncertain multivariable systems obtained by classical system identification methods. The performance measures are in terms of H2 or H∞ norm of a closed-loop transfer matrix. An upper bound for the performance analysis criterion is computed via an LMI-based optimisation problem. The LFT description is used as a tool for uncertainty modelling. The proposed performance conditions are derived based on using the parameter-dependent Lyapunov functions and are deduced via a parametrisation for the set of multipliers corresponding to the ellipsoidal uncertainty set delivered by system identification procedure. The effectiveness of the proposed analysis approach is demonstrated by a numerical example.

Date: 2014
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DOI: 10.1080/00207721.2012.724105

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