TestHelp(2) - Useful Design Formulas...

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Unformatted text preview: Useful Design Formulas Thedasignformflaspmentedhuemwfld formud-ordersymsofdle form a} ”"'W' I Settling time (to within 2% of the final value) I Riaeflmtfixmtofisefi'umlfl‘fitumfibaffinfllvflue] 2.115; + 0.61] Tn m" (0.3 E if E 0.3} Block Dlagram Transformations Tranafnnnntiun Original Diagram Equiunlant Diagram I. Combining block: in cascade 2. Moving a summing pain: behind a block 3. Moving a pickofi point ahead of a block 4. Marin: a picknfi point behind a bio-ck 5. Having a. swimming point thread of a block 6. Eliminating a feadbackloop Laplace Transfom Pairs HE] Pithtafl 1. l 6(r.}.unilimpulseax :# tn 2. H: Lunitslep 3. ”I ’l :l‘l W 1 F" 4'11: + a} _________,_._—_._.___.__.—___.._r_ l 1 _ _ 5‘{s+a)‘ (n-[jl‘wfl a l - e" 6“ 31.5 + a) I l _ Inn-cm”) (bu-1}“ “w" .r + at 1 a'[s+a](s+b) (b—a)fl“'"}' '{a-M‘fi fi_____..._—_..____——-H— ab 5 __ a _ 9':(:+n){3+bil 1-9-11]! +[bma)£“ 1 [MI G." 9-11 m'l'.5+a}[:+b)(:+c} (b- akc- ail-PU. - aka - b}+(a — ch-c} 1! s + or [a - ale" + (a - Mr" (H - cfu-fl' '(s+a){s+b][;+¢) tb-ch-a} [c-bh’a-b) {a-ch-c) aha + tr) _ Ha — a} _ ace - b} _ u‘at:+a}{s+b} _ “ {b-awflJ'rb-an‘u a: sinwr 13" :1 + w: 5‘ cosml' H. 5! + w: 15 s + a a + W: . .. -‘:+w: Tnntwf'l-fl-éfltan am (:01?de F1" $1.120 ‘” a" sin wt “5‘ (s + a)! + m1 n ._.{_’_+_“)._. W'oos an '[s + a)” + an! __£fx_ l ... m -u ‘ + 18. {S + a? + m1 a HOE HP + a)?! a 5m (our $1, m ‘6 a m In: «- a 19 ”—i w“ e'fi-‘siuwv'l -41; («:1 ' :1 + 2am: + NE, W n . 2t! 1 1 + I a" sin {an — 41:}, '3[[I+d}’+w‘] a'+a:l‘I NW d: - tan" nut-a «I1 1 —' _ _ f . _ + 2" m: + 2;.“ Mg; 1 We '5" swim?! E r m, ¢-cos":.:«==l m ——— - m ‘ll' + ' 22-5[(:+a}’+m2] a1+mg+fl[ “1+“: ] t 3mm: ¢} ¢ = tan" a: - tan" i a "' fl —fl 23 1 F" + e'" :m {not + $1 _ tan-I a, 'm tc—an' mite-anuuzrrM’ c—a ...
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