Reliable Computing

, Volume 6, Issue 3, pp 231–246 | Cite as

Composite Interval Control Systems: Some Strong Kharitonov-Like Properties

  • Long Wang


The interval model plays an important role in parametric robust control. This paper deals with the strict positive realness of a class of composite interval control systems, and establishes a strong Kharitonov-like extreme point criterion. We also discuss the robust strict positive realness of the shifted interval plant-controller family, and improve some previous results in the literature. Furthermore, for the collection of Popov plots of an interval transfer function family, we prove that a large portion of its outer boundary comes from the sixteen Kharitonov transfer functions. Finally, we study the beta boundedness of interval systems. A strong Kharitonov-like vertex result is established, namely, that all members in the interval system family are beta bounded if and only if the sixteen Kharitonov critical vertices are beta bounded.


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© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Long Wang
    • 1
  1. 1.Center for Systems and Control, Department of Mechanics and Engineering SciencePeking UniversityBeijingP.R.China

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