Probabilistic enhancement of classical robustness margins: The unirectangularity concept

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

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


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
StatePublished - Dec 1 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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