Unformatted text preview: y ( t ) to stay in the following time-template | y ( t ) | ≤ ± M ≤ t < T m t ≥ T where M > 1 > m > 0, and T > 0. Show that for a stabilizing controller to meet these speci±cations we must have aT ≥ ln ² M-m M-1 ³ Explain the tradeo²s in this problem. P7. [ Zhou 6.9 ] Let K be a stabilizing controller for the nominal plant P = s-α ( s-β )( s + γ ) where α > 0, β > 0, and γ ≥ 0. Suppose | S ( jw ) | ≤ δ < 1 for all w ∈ [-w , w ]. Find a lower bound for k S k ∞ and calculate the lower bound for α = 1, β = 2, γ = 10, δ = 0 . 2, and w = 1....
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This note was uploaded on 01/04/2012 for the course CDS 212 taught by Professor Tarraf,d during the Fall '08 term at Caltech.
- Fall '08