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Engenharia de Controle e Automação ·

Automação

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Table of Laplace and Z-transforms X(s) x(t) X(kT) or x(k) X(z) 1. - - Kronecker delta d(k) 1 k = 0 0 k ≠ 0 1 2. f(t-nk) f^(n) 3. 1 1(t) 1(k) 1 (1-z^-1) 4. 1 s+a e^(-at) e^(akT) 1 1-e^(-aT)z^-1 5. 1 1 t kT (1-z^-1)^2 6. 1 s^2 t^2 (kT)^2 2 (1-z^-1)^3 7. 6 6 6 6 6 6 6 6 8. d/ds(a+a) 1-e^(-a) 9. (s+a)k+b alpha^t*cos(bt) cTe^(-at) 10. K(s) kTcos(at)x^n Te^(-at) 11. alpha^ke^(-omegat) 12. alpha^kTcos(bt) kTe^(-at) 13. at-1+e^(-a)x*z K(cT)-1+e^cT*x*z 14. sin ax sint ax sin aA 1-e^(-jomega)T*z^-1 15. cos ax cos akT cos al 1-2*e^(-akT)*cos(aT)z-1 16. cos(akT) 17. cos al cosContent z x(kT)x^n 18. ^(a)l ^(a)C k-1, 2, 3, ... 19. ^(a)C 1-edge s*e^(-bt) 20. K0a^have k^nt 21. cout TF side ks/^3 2(ague 22. _ptrace (a^Slugage .^2)*x(3^(a+"-^l"))minus 23. k^(a-slip AU(s))H(X) 24. d^p/xcos(kn) x(t) = 0 x(kT) - xfQ) = 0 Unless otherwise noted, k = 0, 1, 2, 3, ...