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Uncertain systems

  • Ian R. Petersen
  • Valery A. Ugrinovskii
  • Andrey V. Savkin
Chapter
  • 623 Downloads
Part of the Communications and Control Engineering book series (CCE)

Abstract

As mentioned in Chapter 1, the uncertain system models we will deal with in this book originate from the linear fractional transformation shown in Figure 1.1.1 on page 2 and Figure 1.2.2 on page 10. In Chapter 1, we discussed two typical bounds on the uncertainty Δ in the uncertain systems shown in these figures. This allows one to describe uncertainties arising either in the form of time-varying normbounded blocks satisfying (1.1.1) or in the form of transfer function blocks in which the Hnorm is bounded as in condition (1.1.2). The H-norm bound uncertainty description is closely related to the frequency domain integral quadratic constraint (IQC) uncertainty description. The limitations of these two forms of uncertainty description were discussed briefly in Chapter 1.

Keywords

Probability Measure Relative Entropy Wiener Process Uncertain System Uncertainty Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2000

Authors and Affiliations

  • Ian R. Petersen
    • 1
  • Valery A. Ugrinovskii
    • 1
  • Andrey V. Savkin
    • 2
  1. 1.School of Electrical EngineeringADFACanberraAustralia
  2. 2.Department of Electrical and Electronic EngineeringUniversity of Western AustraliaNedlandsAustralia

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