Application of the discrete-time structured singular value for DC-DC converters

• Published in: IET Irish Signals and Systems Conference (ISSC 2008) pp. 90 - 95
• Main Authors: Halton, M, Scharrer, M, Scanlan, T
• Format: Conference Proceeding
• Language: English
• Published: Stevenage IET 2008
• Subjects: Algebra; Control of electric power systems; Discrete control systems; Power electronics, supply and supervisory circuits; Stability in control theory; DC-DC converters; discrete time systems; frequency sweep; robust control; discrete-time structured singular value problem; DC-DC power convertors; singular value decomposition; discrete stability state-space test; state-space methods; parametric uncertainty
• ISBN: 0863419313; 9780863419317
• DOI: 10.1049/cp:20080644

This paper considers the application of the discrete-time structured singular value to assess the robustness of systems subject to real parametric uncertainties. Since the associated uncertainty set is strictly real, the resulting μ bounds may be discontinuous irrespective of the fineness of the frequency sweep. It is therefore necessary to seek other more reliable methods of test. One such method detailed is a discrete robust stability state-space test that is not dependent on a frequency sweep. It is shown that this is a discrete skewed structured singular value problem. For illustration purposes, a robustness analysis using both a frequency sweep and state-space transformation is performed on a forward converter with a real parameter uncertainty. The results are detailed and critically assessed.