Probabilistic enhancement of classical robustness margins

The unirectangularity concept

Constantino Manuel Lagoa, P. S. Shcherbakov, B. R. Barmish

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The focal point of this paper is a control system subjected to parametric uncertainty. Motivated by the newly emerging theory of probabilistic robustness, the risk of performance violation is assessed with uncertainty bounds which exceed classical deterministic margins. For a wide class of problems, the Uniformity Principle (UP) makes it possible to estimate the probability of performance satisfaction with almost no apriori statistical information about the uncertainty. The application of the UP is, however, limited to problems satisfying certain convexity and symmetricity conditions. This paper extends the application of the UP by working with a so-called unirectangularity condition.

Original languageEnglish (US)
Pages (from-to)4874-4879
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - 1997

Fingerprint

Uniformity
Margin
Enhancement
Robustness
Uncertainty
Parametric Uncertainty
Convexity
Exceed
Control System
Control systems
Estimate
Concepts
Class

All Science Journal Classification (ASJC) codes

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

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Probabilistic enhancement of classical robustness margins : The unirectangularity concept. / Lagoa, Constantino Manuel; Shcherbakov, P. S.; Barmish, B. R.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 5, 1997, p. 4874-4879.

Research output: Contribution to journalArticle

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