A skew mu toolbox (SMT) for robustness analysis

Ferreres, G.; Biannic, Jean‐Marc; Magni, J. F.

doi:10.1109/cacsd.2004.1393894

Cited by 22 publications

(30 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It can be easily checked using a dedicated software [4] and is supposed to hold throughout the paper. Note that µ-analysis is not broached as such in this paper due to space limitations, but a good introduction to this technique can be found in [13], [14].…”

Section: Problem Statementmentioning

confidence: 99%

See 1 more Smart Citation

A practical approach to worst-case H<inf>∞</inf> performance computation

Roos¹

2010

2010 IEEE International Symposium on Computer-Aided Control System Design

View full text Add to dashboard Cite

A practical method is proposed in this paper to compute a lower bound on the worst-case H∞ performance for a linear time-invariant system affected by parametric uncertainties. The problem is first solved for a few frequencies by combining a gradient computation with a hamiltonian-like method. A series of linear programming problems are then solved using the previous results as an initialization, and worstcase values of both the frequency and the uncertainties are determined. The application of the resulting algorithm to a challenging industrial problem proves conclusive and shows that high-order systems with highly repeated uncertainties can be handled: the impact of wind on passengers' comfort on board a flexible transport aircraft is indeed evaluated, and worst-case values of both the flight and the mass parameters are obtained.

show abstract

Section: Problem Statementmentioning

confidence: 99%

“…Although the exact computation of the worstcase H ∞ performance is NP hard, an estimation can thus be obtained by computing skewed-µ upper and lower bounds. Several upper bounds exist [2], [3] and efficient algorithms have been implemented [4]. On the other hand, results are quite mixed concerning lower bounds.…”

Section: Introductionmentioning

confidence: 99%

A practical approach to worst-case H<inf>∞</inf> performance computation

Roos¹

2010

2010 IEEE International Symposium on Computer-Aided Control System Design

View full text Add to dashboard Cite

show abstract

“…The added benefit is that the new uncertainty structure XiC is always mixed (contains real and complex uncertainty) and efficient computation of upper and lower bounds for "mixed" IL are well developed and commercially available [6]. The authors also recommend using the Skew Mu Toolbox for use with Matlab that is freely downloadable [7]. Figure 5, the pre-filter Hr is set to 1, the influences of disturbances d and noise n are ignored for the initial analysis and the perturbed plant P is determined using (7).…”

Section: Definitionmentioning

confidence: 99%

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

Halton¹,

Scharrer²,

Scanlan³

2008

IET Irish Signals and Systems Conference (ISSC 2008)

View full text Add to dashboard Cite

-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 /-l 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.

show abstract

“…This robust model can then be transformed into a generic M − ∆ form as shown in Figure 2 where the ∆ block contains all of the introduced normalized uncertain parameters. Transformation into this generic form can be performed mathematically, by block diagram and/or by using dedicated software tools [3]- [5].…”

Section: Robust Controlmentioning

confidence: 99%

Robust analysis and synthesis design tools for digitally controlled power converters

Halton

Iordanov

Mooney

2015

2015 IEEE Applied Power Electronics Conference and Exposition (APEC)

View full text Add to dashboard Cite

Abstract-A new suite of Matlab-compatible robust analysis and synthesis design tools for digitally-controlled switched-mode power supplies has been developed. The objective of developing this tool suite is to assist control engineers to design and/or assess digital compensators that are robustly stable. The tool suite comprises of nonlinear, linearized and discrete-time continuous conduction mode and discontinuous conduction mode models, robust analysis algorithms and robust synthesis algorithms. To promote ease of use and adoption, a front-end graphical user interface has also been developed.

show abstract

A skew mu toolbox (SMT) for robustness analysis

Cited by 22 publications

References 9 publications

A practical approach to worst-case H<inf>∞</inf> performance computation

A practical approach to worst-case H<inf>∞</inf> performance computation

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

Robust analysis and synthesis design tools for digitally controlled power converters

Contact Info

Product

Resources

About

A skew mu toolbox (SMT) for robustness analysis

Cited by 22 publications

References 9 publications

A practical approach to worst-case H<inf>&#x221E;</inf> performance computation

A practical approach to worst-case H<inf>&#x221E;</inf> performance computation

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

Robust analysis and synthesis design tools for digitally controlled power converters

Contact Info

Product

Resources

About

A practical approach to worst-case H<inf>∞</inf> performance computation

A practical approach to worst-case H<inf>∞</inf> performance computation