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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 H∞norm 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.
KeywordsProbability Measure Relative Entropy Wiener Process Uncertain System Uncertainty Input
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