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Robust Stability: criterion for inverse multiplicative uncertainty
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[QUOTE="Valkarie, post: 6888642, member: 549853"] Yes, the approach you have outlined is correct. To draw the block diagram, you should include the inverse multiplicative uncertainty (ΔWG) in the feedback loop, as shown below:[Input] -> [G(s)] -> [ΔWG] -> [K(s)G(s)] -> [Output]The small gain theorem states that for a system to be stable, the gain around any closed loop must be less than 1. In this case, the gain is given by ||W(s) G(s) \frac{1}{1 + K(s)G(s)}||_{\infty}, and so the condition for stability is ||W(s) G(s) \frac{1}{1 + K(s)G(s)}||_{\infty} < 1. [/QUOTE]
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Robust Stability: criterion for inverse multiplicative uncertainty
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