Radially truncated uniform distributions for probabilistic robustness of control systems

B. R. Barmish, C. M. Lagoa, R. Tempo

Research output: Contribution to journalConference articlepeer-review

32 Scopus citations


In this paper, a new approach to probabilistic robustness is developed in the context of unstructured uncertainty. For a control system with a bound on the uncertain quantities of interest, the probabilistic robustness margin Rmax(ε) describes the radius of tolerable uncertainty as a function of the risk level 0≤ε≤1. In addition, associated with the performance risk probability p = ε, the computed radius Rmax(ε) is guaranteed for a large class of radially symmetric nonincreasing density functions. In other words, the results are distribution-free in the sense that the user does not need to have a detailed description of the statistics of the uncertainty other than a radial bound.

Original languageEnglish (US)
Pages (from-to)853-857
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - 1997
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: Jun 4 1997Jun 6 1997

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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